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Finding the Fourth Proportional to 1,162.79, 1,743.81 and 432.20

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Solution

The fourth proportional to 1,162.79, 1,743.81 and 432.20 is: 648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.79 : 1,743.81 = 432.20 : x
  2. Step 2: Convert to fraction form
    1,162.79/1,743.81 = 432.20/x
  3. Step 3: Cross multiply
    1,162.79x = 1,743.81 × 432.20
  4. Step 4: Simplify right side
    1,162.79x = 753,665.96
  5. Step 5: Solve for x
    x = 753,665.96/1,162.79
  6. Step 6: Final answer
    x = 648.16

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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.