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Finding the Fourth Proportional to 871.46, 1,307.01 and 432.25

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Solution

The fourth proportional to 871.46, 1,307.01 and 432.25 is: 648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.46 : 1,307.01 = 432.25 : x
  2. Step 2: Convert to fraction form
    871.46/1,307.01 = 432.25/x
  3. Step 3: Cross multiply
    871.46x = 1,307.01 × 432.25
  4. Step 4: Simplify right side
    871.46x = 564,951.80
  5. Step 5: Solve for x
    x = 564,951.80/871.46
  6. Step 6: Final answer
    x = 648.29

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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.