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Finding the Fourth Proportional to 1,163.06, 1,744.05 and 432.62

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Solution

The fourth proportional to 1,163.06, 1,744.05 and 432.62 is: 648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.06 : 1,744.05 = 432.62 : x
  2. Step 2: Convert to fraction form
    1,163.06/1,744.05 = 432.62/x
  3. Step 3: Cross multiply
    1,163.06x = 1,744.05 × 432.62
  4. Step 4: Simplify right side
    1,163.06x = 754,510.91
  5. Step 5: Solve for x
    x = 754,510.91/1,163.06
  6. Step 6: Final answer
    x = 648.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.