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Finding the Fourth Proportional to 863.68, 1,295.92 and 741.68

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Solution

The fourth proportional to 863.68, 1,295.92 and 741.68 is: 1,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,295.92 = 741.68 : x
  2. Step 2: Convert to fraction form
    863.68/1,295.92 = 741.68/x
  3. Step 3: Cross multiply
    863.68x = 1,295.92 × 741.68
  4. Step 4: Simplify right side
    863.68x = 961,157.95
  5. Step 5: Solve for x
    x = 961,157.95/863.68
  6. Step 6: Final answer
    x = 1,112.86

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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.