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Finding the Fourth Proportional to 1,463.31, 2,194.97 and 489.29

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Solution

The fourth proportional to 1,463.31, 2,194.97 and 489.29 is: 733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.31 : 2,194.97 = 489.29 : x
  2. Step 2: Convert to fraction form
    1,463.31/2,194.97 = 489.29/x
  3. Step 3: Cross multiply
    1,463.31x = 2,194.97 × 489.29
  4. Step 4: Simplify right side
    1,463.31x = 1,073,963.45
  5. Step 5: Solve for x
    x = 1,073,963.45/1,463.31
  6. Step 6: Final answer
    x = 733.93

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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.