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Finding the Fourth Proportional to 747.92, 1,121.48 and 382.56

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Solution

The fourth proportional to 747.92, 1,121.48 and 382.56 is: 573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.92 : 1,121.48 = 382.56 : x
  2. Step 2: Convert to fraction form
    747.92/1,121.48 = 382.56/x
  3. Step 3: Cross multiply
    747.92x = 1,121.48 × 382.56
  4. Step 4: Simplify right side
    747.92x = 429,033.39
  5. Step 5: Solve for x
    x = 429,033.39/747.92
  6. Step 6: Final answer
    x = 573.64

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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.