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Finding the Fourth Proportional to 747.52, 1,121.31 and 199.70

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Solution

The fourth proportional to 747.52, 1,121.31 and 199.70 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.52 : 1,121.31 = 199.70 : x
  2. Step 2: Convert to fraction form
    747.52/1,121.31 = 199.70/x
  3. Step 3: Cross multiply
    747.52x = 1,121.31 × 199.70
  4. Step 4: Simplify right side
    747.52x = 223,925.61
  5. Step 5: Solve for x
    x = 223,925.61/747.52
  6. Step 6: Final answer
    x = 299.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.