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Finding the Fourth Proportional to 1,194.04, 1,790.42 and 413.99

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Solution

The fourth proportional to 1,194.04, 1,790.42 and 413.99 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.04 : 1,790.42 = 413.99 : x
  2. Step 2: Convert to fraction form
    1,194.04/1,790.42 = 413.99/x
  3. Step 3: Cross multiply
    1,194.04x = 1,790.42 × 413.99
  4. Step 4: Simplify right side
    1,194.04x = 741,207.21
  5. Step 5: Solve for x
    x = 741,207.21/1,194.04
  6. Step 6: Final answer
    x = 620.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.