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Finding the Fourth Proportional to 1,125.62, 1,689.14 and 432.34

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Solution

The fourth proportional to 1,125.62, 1,689.14 and 432.34 is: 648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.62 : 1,689.14 = 432.34 : x
  2. Step 2: Convert to fraction form
    1,125.62/1,689.14 = 432.34/x
  3. Step 3: Cross multiply
    1,125.62x = 1,689.14 × 432.34
  4. Step 4: Simplify right side
    1,125.62x = 730,282.79
  5. Step 5: Solve for x
    x = 730,282.79/1,125.62
  6. Step 6: Final answer
    x = 648.78

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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.