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Finding the Fourth Proportional to 1,432.20, 1,976.48 and 1,013.30

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Solution

The fourth proportional to 1,432.20, 1,976.48 and 1,013.30 is: 1,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.20 : 1,976.48 = 1,013.30 : x
  2. Step 2: Convert to fraction form
    1,432.20/1,976.48 = 1,013.30/x
  3. Step 3: Cross multiply
    1,432.20x = 1,976.48 × 1,013.30
  4. Step 4: Simplify right side
    1,432.20x = 2,002,767.18
  5. Step 5: Solve for x
    x = 2,002,767.18/1,432.20
  6. Step 6: Final answer
    x = 1,398.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.