Solving Square Problems: Find the Patterns & Fill In

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I've come across these before. How should I approach them?

A square is quadrasected (I just invented that word), well, it is cut into four equal parts that are squares, and in each small square a number is placed in. The numbers must obey rules—like the bottom right square's number divided by the top right's is equal to the bottom left's number. There are three other squares that follow the same rules, but some of the squares have missing numbers. I need to find the patterns, and fill in the missing numbers.

What should I do??
 
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Well, if each square has a set of rules (read equation) then you have a system of 4 equations in 4 unknowns.