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Finding the Fourth Proportional to 828.52, 1,242.17 and 462.80

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Solution

The fourth proportional to 828.52, 1,242.17 and 462.80 is: 693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,242.17 = 462.80 : x
  2. Step 2: Convert to fraction form
    828.52/1,242.17 = 462.80/x
  3. Step 3: Cross multiply
    828.52x = 1,242.17 × 462.80
  4. Step 4: Simplify right side
    828.52x = 574,876.28
  5. Step 5: Solve for x
    x = 574,876.28/828.52
  6. Step 6: Final answer
    x = 693.86

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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.