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Finding the Fourth Proportional to 747.39, 1,120.96 and 227.27

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Solution

The fourth proportional to 747.39, 1,120.96 and 227.27 is: 340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.39 : 1,120.96 = 227.27 : x
  2. Step 2: Convert to fraction form
    747.39/1,120.96 = 227.27/x
  3. Step 3: Cross multiply
    747.39x = 1,120.96 × 227.27
  4. Step 4: Simplify right side
    747.39x = 254,759.46
  5. Step 5: Solve for x
    x = 254,759.46/747.39
  6. Step 6: Final answer
    x = 340.86

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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.