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Finding the Fourth Proportional to 824.56, 1,234.26 and 458.17

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Solution

The fourth proportional to 824.56, 1,234.26 and 458.17 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.56 : 1,234.26 = 458.17 : x
  2. Step 2: Convert to fraction form
    824.56/1,234.26 = 458.17/x
  3. Step 3: Cross multiply
    824.56x = 1,234.26 × 458.17
  4. Step 4: Simplify right side
    824.56x = 565,500.90
  5. Step 5: Solve for x
    x = 565,500.90/824.56
  6. Step 6: Final answer
    x = 685.82

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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.