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Finding the Fourth Proportional to 778.69, 1,167.83 and 367.01

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Solution

The fourth proportional to 778.69, 1,167.83 and 367.01 is: 550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.69 : 1,167.83 = 367.01 : x
  2. Step 2: Convert to fraction form
    778.69/1,167.83 = 367.01/x
  3. Step 3: Cross multiply
    778.69x = 1,167.83 × 367.01
  4. Step 4: Simplify right side
    778.69x = 428,605.29
  5. Step 5: Solve for x
    x = 428,605.29/778.69
  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.