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Finding the Fourth Proportional to 1,195.33, 1,791.97 and 414.85

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Solution

The fourth proportional to 1,195.33, 1,791.97 and 414.85 is: 621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.33 : 1,791.97 = 414.85 : x
  2. Step 2: Convert to fraction form
    1,195.33/1,791.97 = 414.85/x
  3. Step 3: Cross multiply
    1,195.33x = 1,791.97 × 414.85
  4. Step 4: Simplify right side
    1,195.33x = 743,393.89
  5. Step 5: Solve for x
    x = 743,393.89/1,195.33
  6. Step 6: Final answer
    x = 621.91

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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.