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Finding the Fourth Proportional to 854.28, 1,278.96 and 579.87

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Solution

The fourth proportional to 854.28, 1,278.96 and 579.87 is: 868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.28 : 1,278.96 = 579.87 : x
  2. Step 2: Convert to fraction form
    854.28/1,278.96 = 579.87/x
  3. Step 3: Cross multiply
    854.28x = 1,278.96 × 579.87
  4. Step 4: Simplify right side
    854.28x = 741,630.54
  5. Step 5: Solve for x
    x = 741,630.54/854.28
  6. Step 6: Final answer
    x = 868.14

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Why These Related Problems?

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