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Finding the Fourth Proportional to 1,162.87, 1,744.42 and 432.27

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Solution

The fourth proportional to 1,162.87, 1,744.42 and 432.27 is: 648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.87 : 1,744.42 = 432.27 : x
  2. Step 2: Convert to fraction form
    1,162.87/1,744.42 = 432.27/x
  3. Step 3: Cross multiply
    1,162.87x = 1,744.42 × 432.27
  4. Step 4: Simplify right side
    1,162.87x = 754,066.61
  5. Step 5: Solve for x
    x = 754,066.61/1,162.87
  6. Step 6: Final answer
    x = 648.45

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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.