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Finding the Fourth Proportional to 1,162.94, 1,744.27 and 432.43

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Solution

The fourth proportional to 1,162.94, 1,744.27 and 432.43 is: 648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.94 : 1,744.27 = 432.43 : x
  2. Step 2: Convert to fraction form
    1,162.94/1,744.27 = 432.43/x
  3. Step 3: Cross multiply
    1,162.94x = 1,744.27 × 432.43
  4. Step 4: Simplify right side
    1,162.94x = 754,269.23
  5. Step 5: Solve for x
    x = 754,269.23/1,162.94
  6. Step 6: Final answer
    x = 648.59

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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.