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Finding the Fourth Proportional to 725.18, 1,086.84 and 314.10

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Solution

The fourth proportional to 725.18, 1,086.84 and 314.10 is: 470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.18 : 1,086.84 = 314.10 : x
  2. Step 2: Convert to fraction form
    725.18/1,086.84 = 314.10/x
  3. Step 3: Cross multiply
    725.18x = 1,086.84 × 314.10
  4. Step 4: Simplify right side
    725.18x = 341,376.44
  5. Step 5: Solve for x
    x = 341,376.44/725.18
  6. Step 6: Final answer
    x = 470.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.