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Finding the Fourth Proportional to 824.62, 1,234.76 and 457.56

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Solution

The fourth proportional to 824.62, 1,234.76 and 457.56 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.62 : 1,234.76 = 457.56 : x
  2. Step 2: Convert to fraction form
    824.62/1,234.76 = 457.56/x
  3. Step 3: Cross multiply
    824.62x = 1,234.76 × 457.56
  4. Step 4: Simplify right side
    824.62x = 564,976.79
  5. Step 5: Solve for x
    x = 564,976.79/824.62
  6. Step 6: Final answer
    x = 685.14

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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.