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Finding the Fourth Proportional to 1,413.43, 2,121.44 and 720.60

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Solution

The fourth proportional to 1,413.43, 2,121.44 and 720.60 is: 1,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.43 : 2,121.44 = 720.60 : x
  2. Step 2: Convert to fraction form
    1,413.43/2,121.44 = 720.60/x
  3. Step 3: Cross multiply
    1,413.43x = 2,121.44 × 720.60
  4. Step 4: Simplify right side
    1,413.43x = 1,528,709.66
  5. Step 5: Solve for x
    x = 1,528,709.66/1,413.43
  6. Step 6: Final answer
    x = 1,081.56

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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.