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Finding the Fourth Proportional to 1,194.36, 1,790.83 and 413.97

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Solution

The fourth proportional to 1,194.36, 1,790.83 and 413.97 is: 620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.36 : 1,790.83 = 413.97 : x
  2. Step 2: Convert to fraction form
    1,194.36/1,790.83 = 413.97/x
  3. Step 3: Cross multiply
    1,194.36x = 1,790.83 × 413.97
  4. Step 4: Simplify right side
    1,194.36x = 741,349.90
  5. Step 5: Solve for x
    x = 741,349.90/1,194.36
  6. Step 6: Final answer
    x = 620.71

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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.