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Finding the Fourth Proportional to 1,463.97, 2,194.43 and 641.55

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Solution

The fourth proportional to 1,463.97, 2,194.43 and 641.55 is: 961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.97 : 2,194.43 = 641.55 : x
  2. Step 2: Convert to fraction form
    1,463.97/2,194.43 = 641.55/x
  3. Step 3: Cross multiply
    1,463.97x = 2,194.43 × 641.55
  4. Step 4: Simplify right side
    1,463.97x = 1,407,833.36
  5. Step 5: Solve for x
    x = 1,407,833.36/1,463.97
  6. Step 6: Final answer
    x = 961.65

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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.