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Finding the Fourth Proportional to 778.88, 1,168.48 and 265.92

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Solution

The fourth proportional to 778.88, 1,168.48 and 265.92 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.88 : 1,168.48 = 265.92 : x
  2. Step 2: Convert to fraction form
    778.88/1,168.48 = 265.92/x
  3. Step 3: Cross multiply
    778.88x = 1,168.48 × 265.92
  4. Step 4: Simplify right side
    778.88x = 310,722.20
  5. Step 5: Solve for x
    x = 310,722.20/778.88
  6. Step 6: Final answer
    x = 398.93

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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.