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Finding the Fourth Proportional to 863.68, 1,295.76 and 286.57

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Solution

The fourth proportional to 863.68, 1,295.76 and 286.57 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,295.76 = 286.57 : x
  2. Step 2: Convert to fraction form
    863.68/1,295.76 = 286.57/x
  3. Step 3: Cross multiply
    863.68x = 1,295.76 × 286.57
  4. Step 4: Simplify right side
    863.68x = 371,325.94
  5. Step 5: Solve for x
    x = 371,325.94/863.68
  6. Step 6: Final answer
    x = 429.93

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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.