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Finding the Fourth Proportional to 863.24, 1,294.92 and 286.52

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Solution

The fourth proportional to 863.24, 1,294.92 and 286.52 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.24 : 1,294.92 = 286.52 : x
  2. Step 2: Convert to fraction form
    863.24/1,294.92 = 286.52/x
  3. Step 3: Cross multiply
    863.24x = 1,294.92 × 286.52
  4. Step 4: Simplify right side
    863.24x = 371,020.48
  5. Step 5: Solve for x
    x = 371,020.48/863.24
  6. Step 6: Final answer
    x = 429.80

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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.