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Finding the Fourth Proportional to 981.86, 1,472.24 and 397.15

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Solution

The fourth proportional to 981.86, 1,472.24 and 397.15 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.86 : 1,472.24 = 397.15 : x
  2. Step 2: Convert to fraction form
    981.86/1,472.24 = 397.15/x
  3. Step 3: Cross multiply
    981.86x = 1,472.24 × 397.15
  4. Step 4: Simplify right side
    981.86x = 584,697.43
  5. Step 5: Solve for x
    x = 584,697.43/981.86
  6. Step 6: Final answer
    x = 595.50

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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.