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Finding the Fourth Proportional to 981.20, 1,472.02 and 287.88

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Solution

The fourth proportional to 981.20, 1,472.02 and 287.88 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.20 : 1,472.02 = 287.88 : x
  2. Step 2: Convert to fraction form
    981.20/1,472.02 = 287.88/x
  3. Step 3: Cross multiply
    981.20x = 1,472.02 × 287.88
  4. Step 4: Simplify right side
    981.20x = 423,765.12
  5. Step 5: Solve for x
    x = 423,765.12/981.20
  6. Step 6: Final answer
    x = 431.88

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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.