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Finding the Fourth Proportional to 732.69, 1,010.07 and 566.64

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Solution

The fourth proportional to 732.69, 1,010.07 and 566.64 is: 781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.69 : 1,010.07 = 566.64 : x
  2. Step 2: Convert to fraction form
    732.69/1,010.07 = 566.64/x
  3. Step 3: Cross multiply
    732.69x = 1,010.07 × 566.64
  4. Step 4: Simplify right side
    732.69x = 572,346.06
  5. Step 5: Solve for x
    x = 572,346.06/732.69
  6. Step 6: Final answer
    x = 781.16

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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.