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Finding the Fourth Proportional to 728.56, 1,092.84 and 317.61

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Solution

The fourth proportional to 728.56, 1,092.84 and 317.61 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.56 : 1,092.84 = 317.61 : x
  2. Step 2: Convert to fraction form
    728.56/1,092.84 = 317.61/x
  3. Step 3: Cross multiply
    728.56x = 1,092.84 × 317.61
  4. Step 4: Simplify right side
    728.56x = 347,096.91
  5. Step 5: Solve for x
    x = 347,096.91/728.56
  6. Step 6: Final answer
    x = 476.42

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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.