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Finding the Fourth Proportional to 680.13, 1,019.89 and 247.29

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Solution

The fourth proportional to 680.13, 1,019.89 and 247.29 is: 370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 1,019.89 = 247.29 : x
  2. Step 2: Convert to fraction form
    680.13/1,019.89 = 247.29/x
  3. Step 3: Cross multiply
    680.13x = 1,019.89 × 247.29
  4. Step 4: Simplify right side
    680.13x = 252,205.08
  5. Step 5: Solve for x
    x = 252,205.08/680.13
  6. Step 6: Final answer
    x = 370.82

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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.