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Finding the Fourth Proportional to 778.71, 1,167.96 and 258.78

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Solution

The fourth proportional to 778.71, 1,167.96 and 258.78 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.71 : 1,167.96 = 258.78 : x
  2. Step 2: Convert to fraction form
    778.71/1,167.96 = 258.78/x
  3. Step 3: Cross multiply
    778.71x = 1,167.96 × 258.78
  4. Step 4: Simplify right side
    778.71x = 302,244.69
  5. Step 5: Solve for x
    x = 302,244.69/778.71
  6. Step 6: Final answer
    x = 388.14

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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.