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Finding the Fourth Proportional to 827.71, 1,242.08 and 462.73

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Solution

The fourth proportional to 827.71, 1,242.08 and 462.73 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.71 : 1,242.08 = 462.73 : x
  2. Step 2: Convert to fraction form
    827.71/1,242.08 = 462.73/x
  3. Step 3: Cross multiply
    827.71x = 1,242.08 × 462.73
  4. Step 4: Simplify right side
    827.71x = 574,751.36
  5. Step 5: Solve for x
    x = 574,751.36/827.71
  6. Step 6: Final answer
    x = 694.39

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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.