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Finding the Fourth Proportional to 725.14, 1,000.92 and 489.43

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Solution

The fourth proportional to 725.14, 1,000.92 and 489.43 is: 675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.14 : 1,000.92 = 489.43 : x
  2. Step 2: Convert to fraction form
    725.14/1,000.92 = 489.43/x
  3. Step 3: Cross multiply
    725.14x = 1,000.92 × 489.43
  4. Step 4: Simplify right side
    725.14x = 489,880.28
  5. Step 5: Solve for x
    x = 489,880.28/725.14
  6. Step 6: Final answer
    x = 675.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.