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Finding the Fourth Proportional to 1,413.88, 2,121.12 and 489.22

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Solution

The fourth proportional to 1,413.88, 2,121.12 and 489.22 is: 733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.88 : 2,121.12 = 489.22 : x
  2. Step 2: Convert to fraction form
    1,413.88/2,121.12 = 489.22/x
  3. Step 3: Cross multiply
    1,413.88x = 2,121.12 × 489.22
  4. Step 4: Simplify right side
    1,413.88x = 1,037,694.33
  5. Step 5: Solve for x
    x = 1,037,694.33/1,413.88
  6. Step 6: Final answer
    x = 733.93

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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.