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Finding the Fourth Proportional to 1,162.37, 1,743.66 and 432.56

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Solution

The fourth proportional to 1,162.37, 1,743.66 and 432.56 is: 648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.37 : 1,743.66 = 432.56 : x
  2. Step 2: Convert to fraction form
    1,162.37/1,743.66 = 432.56/x
  3. Step 3: Cross multiply
    1,162.37x = 1,743.66 × 432.56
  4. Step 4: Simplify right side
    1,162.37x = 754,241.93
  5. Step 5: Solve for x
    x = 754,241.93/1,162.37
  6. Step 6: Final answer
    x = 648.88

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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.