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Finding the Fourth Proportional to 778.25, 1,167.38 and 265.25

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Solution

The fourth proportional to 778.25, 1,167.38 and 265.25 is: 397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.25 : 1,167.38 = 265.25 : x
  2. Step 2: Convert to fraction form
    778.25/1,167.38 = 265.25/x
  3. Step 3: Cross multiply
    778.25x = 1,167.38 × 265.25
  4. Step 4: Simplify right side
    778.25x = 309,647.55
  5. Step 5: Solve for x
    x = 309,647.55/778.25
  6. Step 6: Final answer
    x = 397.88

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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.