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Finding the Fourth Proportional to 791.97, 1,187.95 and 519.78

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Solution

The fourth proportional to 791.97, 1,187.95 and 519.78 is: 779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.97 : 1,187.95 = 519.78 : x
  2. Step 2: Convert to fraction form
    791.97/1,187.95 = 519.78/x
  3. Step 3: Cross multiply
    791.97x = 1,187.95 × 519.78
  4. Step 4: Simplify right side
    791.97x = 617,472.65
  5. Step 5: Solve for x
    x = 617,472.65/791.97
  6. Step 6: Final answer
    x = 779.67

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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.