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Finding the Fourth Proportional to 1,413.62, 1,949.77 and 853.84

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Solution

The fourth proportional to 1,413.62, 1,949.77 and 853.84 is: 1,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.62 : 1,949.77 = 853.84 : x
  2. Step 2: Convert to fraction form
    1,413.62/1,949.77 = 853.84/x
  3. Step 3: Cross multiply
    1,413.62x = 1,949.77 × 853.84
  4. Step 4: Simplify right side
    1,413.62x = 1,664,791.62
  5. Step 5: Solve for x
    x = 1,664,791.62/1,413.62
  6. Step 6: Final answer
    x = 1,177.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.