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Finding the Fourth Proportional to 863.86, 1,293.27 and 452.02

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Solution

The fourth proportional to 863.86, 1,293.27 and 452.02 is: 676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,293.27 = 452.02 : x
  2. Step 2: Convert to fraction form
    863.86/1,293.27 = 452.02/x
  3. Step 3: Cross multiply
    863.86x = 1,293.27 × 452.02
  4. Step 4: Simplify right side
    863.86x = 584,583.91
  5. Step 5: Solve for x
    x = 584,583.91/863.86
  6. Step 6: Final answer
    x = 676.71

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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.