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Finding the Fourth Proportional to 728.92, 1,092.72 and 494.20

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Solution

The fourth proportional to 728.92, 1,092.72 and 494.20 is: 740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.92 : 1,092.72 = 494.20 : x
  2. Step 2: Convert to fraction form
    728.92/1,092.72 = 494.20/x
  3. Step 3: Cross multiply
    728.92x = 1,092.72 × 494.20
  4. Step 4: Simplify right side
    728.92x = 540,022.22
  5. Step 5: Solve for x
    x = 540,022.22/728.92
  6. Step 6: Final answer
    x = 740.85

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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.