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Finding the Fourth Proportional to 742.24, 1,112.07 and 491.92

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Solution

The fourth proportional to 742.24, 1,112.07 and 491.92 is: 737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,112.07 = 491.92 : x
  2. Step 2: Convert to fraction form
    742.24/1,112.07 = 491.92/x
  3. Step 3: Cross multiply
    742.24x = 1,112.07 × 491.92
  4. Step 4: Simplify right side
    742.24x = 547,045.14
  5. Step 5: Solve for x
    x = 547,045.14/742.24
  6. Step 6: Final answer
    x = 737.02

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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.