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Finding the Fourth Proportional to 863.46, 1,294.74 and 451.60

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Solution

The fourth proportional to 863.46, 1,294.74 and 451.60 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,294.74 = 451.60 : x
  2. Step 2: Convert to fraction form
    863.46/1,294.74 = 451.60/x
  3. Step 3: Cross multiply
    863.46x = 1,294.74 × 451.60
  4. Step 4: Simplify right side
    863.46x = 584,704.58
  5. Step 5: Solve for x
    x = 584,704.58/863.46
  6. Step 6: Final answer
    x = 677.16

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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.