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Finding the Fourth Proportional to 1,193.97, 1,791.18 and 413.94

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Solution

The fourth proportional to 1,193.97, 1,791.18 and 413.94 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.97 : 1,791.18 = 413.94 : x
  2. Step 2: Convert to fraction form
    1,193.97/1,791.18 = 413.94/x
  3. Step 3: Cross multiply
    1,193.97x = 1,791.18 × 413.94
  4. Step 4: Simplify right side
    1,193.97x = 741,430.91
  5. Step 5: Solve for x
    x = 741,430.91/1,193.97
  6. Step 6: Final answer
    x = 620.98

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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.