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Finding the Fourth Proportional to 747.55, 1,121.32 and 260.59

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Solution

The fourth proportional to 747.55, 1,121.32 and 260.59 is: 390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.55 : 1,121.32 = 260.59 : x
  2. Step 2: Convert to fraction form
    747.55/1,121.32 = 260.59/x
  3. Step 3: Cross multiply
    747.55x = 1,121.32 × 260.59
  4. Step 4: Simplify right side
    747.55x = 292,204.78
  5. Step 5: Solve for x
    x = 292,204.78/747.55
  6. Step 6: Final answer
    x = 390.88

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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.