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Finding the Fourth Proportional to 1,280.43, 1,766.84 and 808.14

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Solution

The fourth proportional to 1,280.43, 1,766.84 and 808.14 is: 1,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.43 : 1,766.84 = 808.14 : x
  2. Step 2: Convert to fraction form
    1,280.43/1,766.84 = 808.14/x
  3. Step 3: Cross multiply
    1,280.43x = 1,766.84 × 808.14
  4. Step 4: Simplify right side
    1,280.43x = 1,427,856.66
  5. Step 5: Solve for x
    x = 1,427,856.66/1,280.43
  6. Step 6: Final answer
    x = 1,115.14

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Why These Related Problems?

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