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Finding the Fourth Proportional to 1,162.33, 1,743.59 and 431.73

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Solution

The fourth proportional to 1,162.33, 1,743.59 and 431.73 is: 647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.33 : 1,743.59 = 431.73 : x
  2. Step 2: Convert to fraction form
    1,162.33/1,743.59 = 431.73/x
  3. Step 3: Cross multiply
    1,162.33x = 1,743.59 × 431.73
  4. Step 4: Simplify right side
    1,162.33x = 752,761.19
  5. Step 5: Solve for x
    x = 752,761.19/1,162.33
  6. Step 6: Final answer
    x = 647.63

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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.