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Finding the Fourth Proportional to 1,432.65, 2,149.92 and 701.85

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Solution

The fourth proportional to 1,432.65, 2,149.92 and 701.85 is: 1,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.65 : 2,149.92 = 701.85 : x
  2. Step 2: Convert to fraction form
    1,432.65/2,149.92 = 701.85/x
  3. Step 3: Cross multiply
    1,432.65x = 2,149.92 × 701.85
  4. Step 4: Simplify right side
    1,432.65x = 1,508,921.35
  5. Step 5: Solve for x
    x = 1,508,921.35/1,432.65
  6. Step 6: Final answer
    x = 1,053.24

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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.