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Finding the Fourth Proportional to 742.53, 1,024.90 and 521.53

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Solution

The fourth proportional to 742.53, 1,024.90 and 521.53 is: 719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.53 : 1,024.90 = 521.53 : x
  2. Step 2: Convert to fraction form
    742.53/1,024.90 = 521.53/x
  3. Step 3: Cross multiply
    742.53x = 1,024.90 × 521.53
  4. Step 4: Simplify right side
    742.53x = 534,516.10
  5. Step 5: Solve for x
    x = 534,516.10/742.53
  6. Step 6: Final answer
    x = 719.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.