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Finding the Fourth Proportional to 862.23, 1,291.50 and 532.38

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Solution

The fourth proportional to 862.23, 1,291.50 and 532.38 is: 797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.23 : 1,291.50 = 532.38 : x
  2. Step 2: Convert to fraction form
    862.23/1,291.50 = 532.38/x
  3. Step 3: Cross multiply
    862.23x = 1,291.50 × 532.38
  4. Step 4: Simplify right side
    862.23x = 687,568.77
  5. Step 5: Solve for x
    x = 687,568.77/862.23
  6. Step 6: Final answer
    x = 797.43

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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.