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Finding the Fourth Proportional to 1,463.23, 2,194.89 and 489.61

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Solution

The fourth proportional to 1,463.23, 2,194.89 and 489.61 is: 734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.23 : 2,194.89 = 489.61 : x
  2. Step 2: Convert to fraction form
    1,463.23/2,194.89 = 489.61/x
  3. Step 3: Cross multiply
    1,463.23x = 2,194.89 × 489.61
  4. Step 4: Simplify right side
    1,463.23x = 1,074,640.09
  5. Step 5: Solve for x
    x = 1,074,640.09/1,463.23
  6. Step 6: Final answer
    x = 734.43

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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.