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Finding the Fourth Proportional to 1,413.38, 2,120.07 and 682.44

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Solution

The fourth proportional to 1,413.38, 2,120.07 and 682.44 is: 1,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.38 : 2,120.07 = 682.44 : x
  2. Step 2: Convert to fraction form
    1,413.38/2,120.07 = 682.44/x
  3. Step 3: Cross multiply
    1,413.38x = 2,120.07 × 682.44
  4. Step 4: Simplify right side
    1,413.38x = 1,446,817.16
  5. Step 5: Solve for x
    x = 1,446,817.16/1,413.38
  6. Step 6: Final answer
    x = 1,023.66

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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.