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Finding the Fourth Proportional to 1,413.97, 2,120.27 and 489.20

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Solution

The fourth proportional to 1,413.97, 2,120.27 and 489.20 is: 733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.97 : 2,120.27 = 489.20 : x
  2. Step 2: Convert to fraction form
    1,413.97/2,120.27 = 489.20/x
  3. Step 3: Cross multiply
    1,413.97x = 2,120.27 × 489.20
  4. Step 4: Simplify right side
    1,413.97x = 1,037,236.08
  5. Step 5: Solve for x
    x = 1,037,236.08/1,413.97
  6. Step 6: Final answer
    x = 733.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.