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Finding the Fourth Proportional to 1,338.09, 2,007.27 and 413.75

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Solution

The fourth proportional to 1,338.09, 2,007.27 and 413.75 is: 620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.09 : 2,007.27 = 413.75 : x
  2. Step 2: Convert to fraction form
    1,338.09/2,007.27 = 413.75/x
  3. Step 3: Cross multiply
    1,338.09x = 2,007.27 × 413.75
  4. Step 4: Simplify right side
    1,338.09x = 830,497.93
  5. Step 5: Solve for x
    x = 830,497.93/1,338.09
  6. Step 6: Final answer
    x = 620.66

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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.