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Finding the Fourth Proportional to 824.57, 1,237.46 and 391.73

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Solution

The fourth proportional to 824.57, 1,237.46 and 391.73 is: 587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.57 : 1,237.46 = 391.73 : x
  2. Step 2: Convert to fraction form
    824.57/1,237.46 = 391.73/x
  3. Step 3: Cross multiply
    824.57x = 1,237.46 × 391.73
  4. Step 4: Simplify right side
    824.57x = 484,750.21
  5. Step 5: Solve for x
    x = 484,750.21/824.57
  6. Step 6: Final answer
    x = 587.88

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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.