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Finding the Fourth Proportional to 778.77, 1,168.16 and 230.96

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Solution

The fourth proportional to 778.77, 1,168.16 and 230.96 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.77 : 1,168.16 = 230.96 : x
  2. Step 2: Convert to fraction form
    778.77/1,168.16 = 230.96/x
  3. Step 3: Cross multiply
    778.77x = 1,168.16 × 230.96
  4. Step 4: Simplify right side
    778.77x = 269,791.24
  5. Step 5: Solve for x
    x = 269,791.24/778.77
  6. Step 6: Final answer
    x = 346.43

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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.