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Finding the Fourth Proportional to 778.86, 1,167.31 and 367.09

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Solution

The fourth proportional to 778.86, 1,167.31 and 367.09 is: 550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.86 : 1,167.31 = 367.09 : x
  2. Step 2: Convert to fraction form
    778.86/1,167.31 = 367.09/x
  3. Step 3: Cross multiply
    778.86x = 1,167.31 × 367.09
  4. Step 4: Simplify right side
    778.86x = 428,507.83
  5. Step 5: Solve for x
    x = 428,507.83/778.86
  6. Step 6: Final answer
    x = 550.17

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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.