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Finding the Fourth Proportional to 987, 1,480.17 and 337.57

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Solution

The fourth proportional to 987, 1,480.17 and 337.57 is: 506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    987 : 1,480.17 = 337.57 : x
  2. Step 2: Convert to fraction form
    987/1,480.17 = 337.57/x
  3. Step 3: Cross multiply
    987x = 1,480.17 × 337.57
  4. Step 4: Simplify right side
    987x = 499,660.99
  5. Step 5: Solve for x
    x = 499,660.99/987
  6. Step 6: Final answer
    x = 506.24

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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.