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Finding the Fourth Proportional to 778.41, 1,167.77 and 230.54

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Solution

The fourth proportional to 778.41, 1,167.77 and 230.54 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,167.77 = 230.54 : x
  2. Step 2: Convert to fraction form
    778.41/1,167.77 = 230.54/x
  3. Step 3: Cross multiply
    778.41x = 1,167.77 × 230.54
  4. Step 4: Simplify right side
    778.41x = 269,217.70
  5. Step 5: Solve for x
    x = 269,217.70/778.41
  6. Step 6: Final answer
    x = 345.86

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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.