To find every combination of four numbers from the given list that add up to 1483, we can use a combination-based approach. We'll consider all possible combinations of four numbers and check if their sum equals 1483.

The list of numbers is:
$\{200, 245, 290, 300, 310, 318, 325, 350, 360, 360, 405, 435, 440, 442, 460, 490, 545, 680, 680\}$

We can use a brute force approach that tries every combination, or a more efficient method like a sum-checking algorithm. Here's a Python-based approach to handle this computational task.

Let me compute it for you.The combinations of four numbers from the given list that add up to 1483 are:

1. (290, 318, 435, 440)
2. (300, 318, 405, 460)
3. (318, 325, 350, 490)
4. (318, 325, 405, 435)

Would you like any further details or explanations?

Here are some related questions:

1. How would you approach solving similar problems involving different target sums?
2. What is the importance of considering all combinations in this kind of problem?
3. Can we optimize the solution if the list is very large?
4. How would the approach change if negative numbers were involved?
5. Can a different mathematical technique, such as dynamic programming, be applied to this problem?

Tip: When handling large data sets, consider using optimization algorithms to reduce computational time.