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Finding the Fourth Proportional to 1,163.34, 1,744.46 and 432.72

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Solution

The fourth proportional to 1,163.34, 1,744.46 and 432.72 is: 648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.34 : 1,744.46 = 432.72 : x
  2. Step 2: Convert to fraction form
    1,163.34/1,744.46 = 432.72/x
  3. Step 3: Cross multiply
    1,163.34x = 1,744.46 × 432.72
  4. Step 4: Simplify right side
    1,163.34x = 754,862.73
  5. Step 5: Solve for x
    x = 754,862.73/1,163.34
  6. Step 6: Final answer
    x = 648.88

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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.