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Finding the Fourth Proportional to 962.32, 1,442.12 and 498.96

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Solution

The fourth proportional to 962.32, 1,442.12 and 498.96 is: 747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.32 : 1,442.12 = 498.96 : x
  2. Step 2: Convert to fraction form
    962.32/1,442.12 = 498.96/x
  3. Step 3: Cross multiply
    962.32x = 1,442.12 × 498.96
  4. Step 4: Simplify right side
    962.32x = 719,560.20
  5. Step 5: Solve for x
    x = 719,560.20/962.32
  6. Step 6: Final answer
    x = 747.73

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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.