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Finding the Fourth Proportional to 981.54, 1,473.86 and 932.20

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Solution

The fourth proportional to 981.54, 1,473.86 and 932.20 is: 1,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.54 : 1,473.86 = 932.20 : x
  2. Step 2: Convert to fraction form
    981.54/1,473.86 = 932.20/x
  3. Step 3: Cross multiply
    981.54x = 1,473.86 × 932.20
  4. Step 4: Simplify right side
    981.54x = 1,373,930.94
  5. Step 5: Solve for x
    x = 1,373,930.94/981.54
  6. Step 6: Final answer
    x = 1,399.77

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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.