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Finding the Fourth Proportional to 1,413.62, 2,119.76 and 439.73

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Solution

The fourth proportional to 1,413.62, 2,119.76 and 439.73 is: 659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.62 : 2,119.76 = 439.73 : x
  2. Step 2: Convert to fraction form
    1,413.62/2,119.76 = 439.73/x
  3. Step 3: Cross multiply
    1,413.62x = 2,119.76 × 439.73
  4. Step 4: Simplify right side
    1,413.62x = 932,119.87
  5. Step 5: Solve for x
    x = 932,119.87/1,413.62
  6. Step 6: Final answer
    x = 659.39

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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.