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Finding the Fourth Proportional to 863.06, 1,294.18 and 451.78

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Solution

The fourth proportional to 863.06, 1,294.18 and 451.78 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.06 : 1,294.18 = 451.78 : x
  2. Step 2: Convert to fraction form
    863.06/1,294.18 = 451.78/x
  3. Step 3: Cross multiply
    863.06x = 1,294.18 × 451.78
  4. Step 4: Simplify right side
    863.06x = 584,680.28
  5. Step 5: Solve for x
    x = 584,680.28/863.06
  6. Step 6: Final answer
    x = 677.45

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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.