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Finding the Fourth Proportional to 981.20, 1,471.88 and 396.14

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Solution

The fourth proportional to 981.20, 1,471.88 and 396.14 is: 594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.20 : 1,471.88 = 396.14 : x
  2. Step 2: Convert to fraction form
    981.20/1,471.88 = 396.14/x
  3. Step 3: Cross multiply
    981.20x = 1,471.88 × 396.14
  4. Step 4: Simplify right side
    981.20x = 583,064.17
  5. Step 5: Solve for x
    x = 583,064.17/981.20
  6. Step 6: Final answer
    x = 594.23

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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.