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Finding the Fourth Proportional to 871.72, 1,306.50 and 432.50

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Solution

The fourth proportional to 871.72, 1,306.50 and 432.50 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.72 : 1,306.50 = 432.50 : x
  2. Step 2: Convert to fraction form
    871.72/1,306.50 = 432.50/x
  3. Step 3: Cross multiply
    871.72x = 1,306.50 × 432.50
  4. Step 4: Simplify right side
    871.72x = 565,061.25
  5. Step 5: Solve for x
    x = 565,061.25/871.72
  6. Step 6: Final answer
    x = 648.21

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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.