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Finding the Fourth Proportional to 778.38, 1,167.57 and 265.74

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Solution

The fourth proportional to 778.38, 1,167.57 and 265.74 is: 398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.38 : 1,167.57 = 265.74 : x
  2. Step 2: Convert to fraction form
    778.38/1,167.57 = 265.74/x
  3. Step 3: Cross multiply
    778.38x = 1,167.57 × 265.74
  4. Step 4: Simplify right side
    778.38x = 310,270.05
  5. Step 5: Solve for x
    x = 310,270.05/778.38
  6. Step 6: Final answer
    x = 398.61

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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.