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Finding the Fourth Proportional to 713.76, 1,073.12 and 498.24

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Solution

The fourth proportional to 713.76, 1,073.12 and 498.24 is: 749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 1,073.12 = 498.24 : x
  2. Step 2: Convert to fraction form
    713.76/1,073.12 = 498.24/x
  3. Step 3: Cross multiply
    713.76x = 1,073.12 × 498.24
  4. Step 4: Simplify right side
    713.76x = 534,671.31
  5. Step 5: Solve for x
    x = 534,671.31/713.76
  6. Step 6: Final answer
    x = 749.09

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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.