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Finding the Fourth Proportional to 728.38, 1,092.56 and 512.92

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Solution

The fourth proportional to 728.38, 1,092.56 and 512.92 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.38 : 1,092.56 = 512.92 : x
  2. Step 2: Convert to fraction form
    728.38/1,092.56 = 512.92/x
  3. Step 3: Cross multiply
    728.38x = 1,092.56 × 512.92
  4. Step 4: Simplify right side
    728.38x = 560,395.88
  5. Step 5: Solve for x
    x = 560,395.88/728.38
  6. Step 6: Final answer
    x = 769.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.