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Finding the Fourth Proportional to 834.43, 1,251.87 and 487.69

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Solution

The fourth proportional to 834.43, 1,251.87 and 487.69 is: 731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.43 : 1,251.87 = 487.69 : x
  2. Step 2: Convert to fraction form
    834.43/1,251.87 = 487.69/x
  3. Step 3: Cross multiply
    834.43x = 1,251.87 × 487.69
  4. Step 4: Simplify right side
    834.43x = 610,524.48
  5. Step 5: Solve for x
    x = 610,524.48/834.43
  6. Step 6: Final answer
    x = 731.67

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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.