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Finding the Fourth Proportional to 871.30, 1,306.02 and 432.10

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Solution

The fourth proportional to 871.30, 1,306.02 and 432.10 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.30 : 1,306.02 = 432.10 : x
  2. Step 2: Convert to fraction form
    871.30/1,306.02 = 432.10/x
  3. Step 3: Cross multiply
    871.30x = 1,306.02 × 432.10
  4. Step 4: Simplify right side
    871.30x = 564,331.24
  5. Step 5: Solve for x
    x = 564,331.24/871.30
  6. Step 6: Final answer
    x = 647.69

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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.