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Finding the Fourth Proportional to 778.26, 1,167.46 and 265.26

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Solution

The fourth proportional to 778.26, 1,167.46 and 265.26 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,167.46 = 265.26 : x
  2. Step 2: Convert to fraction form
    778.26/1,167.46 = 265.26/x
  3. Step 3: Cross multiply
    778.26x = 1,167.46 × 265.26
  4. Step 4: Simplify right side
    778.26x = 309,680.44
  5. Step 5: Solve for x
    x = 309,680.44/778.26
  6. Step 6: Final answer
    x = 397.91

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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.