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Finding the Fourth Proportional to 728.29, 1,092.58 and 402.97

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Solution

The fourth proportional to 728.29, 1,092.58 and 402.97 is: 604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.29 : 1,092.58 = 402.97 : x
  2. Step 2: Convert to fraction form
    728.29/1,092.58 = 402.97/x
  3. Step 3: Cross multiply
    728.29x = 1,092.58 × 402.97
  4. Step 4: Simplify right side
    728.29x = 440,276.96
  5. Step 5: Solve for x
    x = 440,276.96/728.29
  6. Step 6: Final answer
    x = 604.54

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