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Finding the Fourth Proportional to 854.92, 1,281.15 and 680.81

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Solution

The fourth proportional to 854.92, 1,281.15 and 680.81 is: 1,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.92 : 1,281.15 = 680.81 : x
  2. Step 2: Convert to fraction form
    854.92/1,281.15 = 680.81/x
  3. Step 3: Cross multiply
    854.92x = 1,281.15 × 680.81
  4. Step 4: Simplify right side
    854.92x = 872,213.33
  5. Step 5: Solve for x
    x = 872,213.33/854.92
  6. Step 6: Final answer
    x = 1,020.23

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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.