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Finding the Fourth Proportional to 747.92, 1,121.40 and 491.12

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Solution

The fourth proportional to 747.92, 1,121.40 and 491.12 is: 736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.92 : 1,121.40 = 491.12 : x
  2. Step 2: Convert to fraction form
    747.92/1,121.40 = 491.12/x
  3. Step 3: Cross multiply
    747.92x = 1,121.40 × 491.12
  4. Step 4: Simplify right side
    747.92x = 550,741.97
  5. Step 5: Solve for x
    x = 550,741.97/747.92
  6. Step 6: Final answer
    x = 736.36

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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.