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Finding the Fourth Proportional to 828.27, 1,242.45 and 462.78

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Solution

The fourth proportional to 828.27, 1,242.45 and 462.78 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.27 : 1,242.45 = 462.78 : x
  2. Step 2: Convert to fraction form
    828.27/1,242.45 = 462.78/x
  3. Step 3: Cross multiply
    828.27x = 1,242.45 × 462.78
  4. Step 4: Simplify right side
    828.27x = 574,985.67
  5. Step 5: Solve for x
    x = 574,985.67/828.27
  6. Step 6: Final answer
    x = 694.20

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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.