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Finding the Fourth Proportional to 1,432.50, 1,976.92 and 872.87

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Solution

The fourth proportional to 1,432.50, 1,976.92 and 872.87 is: 1,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.50 : 1,976.92 = 872.87 : x
  2. Step 2: Convert to fraction form
    1,432.50/1,976.92 = 872.87/x
  3. Step 3: Cross multiply
    1,432.50x = 1,976.92 × 872.87
  4. Step 4: Simplify right side
    1,432.50x = 1,725,589.80
  5. Step 5: Solve for x
    x = 1,725,589.80/1,432.50
  6. Step 6: Final answer
    x = 1,204.60

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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.