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Finding the Fourth Proportional to 778.57, 1,167.78 and 412.97

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Solution

The fourth proportional to 778.57, 1,167.78 and 412.97 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.57 : 1,167.78 = 412.97 : x
  2. Step 2: Convert to fraction form
    778.57/1,167.78 = 412.97/x
  3. Step 3: Cross multiply
    778.57x = 1,167.78 × 412.97
  4. Step 4: Simplify right side
    778.57x = 482,256.04
  5. Step 5: Solve for x
    x = 482,256.04/778.57
  6. Step 6: Final answer
    x = 619.41

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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.