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Finding the Fourth Proportional to 778.59, 1,168.11 and 258.66

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Solution

The fourth proportional to 778.59, 1,168.11 and 258.66 is: 388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.59 : 1,168.11 = 258.66 : x
  2. Step 2: Convert to fraction form
    778.59/1,168.11 = 258.66/x
  3. Step 3: Cross multiply
    778.59x = 1,168.11 × 258.66
  4. Step 4: Simplify right side
    778.59x = 302,143.33
  5. Step 5: Solve for x
    x = 302,143.33/778.59
  6. Step 6: Final answer
    x = 388.06

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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.