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Finding the Fourth Proportional to 863.59, 1,294.93 and 451.72

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Solution

The fourth proportional to 863.59, 1,294.93 and 451.72 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.59 : 1,294.93 = 451.72 : x
  2. Step 2: Convert to fraction form
    863.59/1,294.93 = 451.72/x
  3. Step 3: Cross multiply
    863.59x = 1,294.93 × 451.72
  4. Step 4: Simplify right side
    863.59x = 584,945.78
  5. Step 5: Solve for x
    x = 584,945.78/863.59
  6. Step 6: Final answer
    x = 677.34

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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.