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Finding the Fourth Proportional to 754.92, 1,132.74 and 494.82

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Solution

The fourth proportional to 754.92, 1,132.74 and 494.82 is: 742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.92 : 1,132.74 = 494.82 : x
  2. Step 2: Convert to fraction form
    754.92/1,132.74 = 494.82/x
  3. Step 3: Cross multiply
    754.92x = 1,132.74 × 494.82
  4. Step 4: Simplify right side
    754.92x = 560,502.41
  5. Step 5: Solve for x
    x = 560,502.41/754.92
  6. Step 6: Final answer
    x = 742.47

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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.