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Finding the Fourth Proportional to 947.09, 1,413.44 and 884.43

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Solution

The fourth proportional to 947.09, 1,413.44 and 884.43 is: 1,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.09 : 1,413.44 = 884.43 : x
  2. Step 2: Convert to fraction form
    947.09/1,413.44 = 884.43/x
  3. Step 3: Cross multiply
    947.09x = 1,413.44 × 884.43
  4. Step 4: Simplify right side
    947.09x = 1,250,077.25
  5. Step 5: Solve for x
    x = 1,250,077.25/947.09
  6. Step 6: Final answer
    x = 1,319.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.