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Finding the Fourth Proportional to 862.23, 1,294.26 and 497.73

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Solution

The fourth proportional to 862.23, 1,294.26 and 497.73 is: 747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.23 : 1,294.26 = 497.73 : x
  2. Step 2: Convert to fraction form
    862.23/1,294.26 = 497.73/x
  3. Step 3: Cross multiply
    862.23x = 1,294.26 × 497.73
  4. Step 4: Simplify right side
    862.23x = 644,192.03
  5. Step 5: Solve for x
    x = 644,192.03/862.23
  6. Step 6: Final answer
    x = 747.12

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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.