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Finding the Fourth Proportional to 939.45, 1,296.55 and 566.62

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Solution

The fourth proportional to 939.45, 1,296.55 and 566.62 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.45 : 1,296.55 = 566.62 : x
  2. Step 2: Convert to fraction form
    939.45/1,296.55 = 566.62/x
  3. Step 3: Cross multiply
    939.45x = 1,296.55 × 566.62
  4. Step 4: Simplify right side
    939.45x = 734,651.16
  5. Step 5: Solve for x
    x = 734,651.16/939.45
  6. Step 6: Final answer
    x = 782.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.