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Finding the Fourth Proportional to 1,413.33, 2,120.45 and 682.80

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Solution

The fourth proportional to 1,413.33, 2,120.45 and 682.80 is: 1,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.33 : 2,120.45 = 682.80 : x
  2. Step 2: Convert to fraction form
    1,413.33/2,120.45 = 682.80/x
  3. Step 3: Cross multiply
    1,413.33x = 2,120.45 × 682.80
  4. Step 4: Simplify right side
    1,413.33x = 1,447,843.26
  5. Step 5: Solve for x
    x = 1,447,843.26/1,413.33
  6. Step 6: Final answer
    x = 1,024.42

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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.