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Finding the Fourth Proportional to 1,154.39, 1,732.13 and 667.85

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Solution

The fourth proportional to 1,154.39, 1,732.13 and 667.85 is: 1,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.39 : 1,732.13 = 667.85 : x
  2. Step 2: Convert to fraction form
    1,154.39/1,732.13 = 667.85/x
  3. Step 3: Cross multiply
    1,154.39x = 1,732.13 × 667.85
  4. Step 4: Simplify right side
    1,154.39x = 1,156,799.68
  5. Step 5: Solve for x
    x = 1,156,799.68/1,154.39
  6. Step 6: Final answer
    x = 1,002.09

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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.