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Finding the Fourth Proportional to 853.92, 1,279.66 and 487.94

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Solution

The fourth proportional to 853.92, 1,279.66 and 487.94 is: 731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.92 : 1,279.66 = 487.94 : x
  2. Step 2: Convert to fraction form
    853.92/1,279.66 = 487.94/x
  3. Step 3: Cross multiply
    853.92x = 1,279.66 × 487.94
  4. Step 4: Simplify right side
    853.92x = 624,397.30
  5. Step 5: Solve for x
    x = 624,397.30/853.92
  6. Step 6: Final answer
    x = 731.21

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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.