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Finding the Fourth Proportional to 778.39, 1,166.77 and 367.20

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Solution

The fourth proportional to 778.39, 1,166.77 and 367.20 is: 550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.39 : 1,166.77 = 367.20 : x
  2. Step 2: Convert to fraction form
    778.39/1,166.77 = 367.20/x
  3. Step 3: Cross multiply
    778.39x = 1,166.77 × 367.20
  4. Step 4: Simplify right side
    778.39x = 428,437.94
  5. Step 5: Solve for x
    x = 428,437.94/778.39
  6. Step 6: Final answer
    x = 550.42

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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.