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To solve this problem using a proportion, we need to set up a ratio based on the given information.

### Given:
- Property value: $71,000
- Tax: $775

We need to find the tax on a property with an assessed value of $85,000.

Let's denote the unknown tax as $ x $.

The proportion is:
\[
\frac{775}{71,000} = \frac{x}{85,000}
\]

Now, solve for $ x $ by cross-multiplying:

\[
775 \times 85,000 = 71,000 \times x
\]

Simplify to find $ x $:
\[
x = \frac{775 \times 85,000}{71,000}
\]

Let's calculate this value.The tax on a property with an assessed value of $85,000 would be approximately $927.82.

Would you like more details on this solution or have any further questions?

Here are some related questions you might consider:

1. How do you set up and solve different types of proportion problems?
2. What is the formula for calculating property tax based on assessed value?
3. How can percentage increases in property values affect taxes?
4. Can property tax rates vary within the same region?
5. How do other factors like deductions or exemptions impact property tax calculations?

**Tip:** When dealing with proportions, ensure that the units in both ratios are consistent to avoid calculation errors.

The tax on a property with an assessed value of $71,000 is $775. Using a proportion, find the tax on a property with an assessed value of $85,000.

Learn how to calculate property tax using proportions. This example shows how to find the tax for a property valued at $85,000 given that the tax on a property valued at $71,000 is $775. Suitable for students in Grades 7-9.

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