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Finding the Fourth Proportional to 731.92, 1,092.72 and 557.64

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Solution

The fourth proportional to 731.92, 1,092.72 and 557.64 is: 832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.92 : 1,092.72 = 557.64 : x
  2. Step 2: Convert to fraction form
    731.92/1,092.72 = 557.64/x
  3. Step 3: Cross multiply
    731.92x = 1,092.72 × 557.64
  4. Step 4: Simplify right side
    731.92x = 609,344.38
  5. Step 5: Solve for x
    x = 609,344.38/731.92
  6. Step 6: Final answer
    x = 832.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.