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Finding the Fourth Proportional to 863.60, 1,294.86 and 286.52

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Solution

The fourth proportional to 863.60, 1,294.86 and 286.52 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.60 : 1,294.86 = 286.52 : x
  2. Step 2: Convert to fraction form
    863.60/1,294.86 = 286.52/x
  3. Step 3: Cross multiply
    863.60x = 1,294.86 × 286.52
  4. Step 4: Simplify right side
    863.60x = 371,003.29
  5. Step 5: Solve for x
    x = 371,003.29/863.60
  6. Step 6: Final answer
    x = 429.60

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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.