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Finding the Fourth Proportional to 1,413.94, 2,120.28 and 439.96

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Solution

The fourth proportional to 1,413.94, 2,120.28 and 439.96 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.94 : 2,120.28 = 439.96 : x
  2. Step 2: Convert to fraction form
    1,413.94/2,120.28 = 439.96/x
  3. Step 3: Cross multiply
    1,413.94x = 2,120.28 × 439.96
  4. Step 4: Simplify right side
    1,413.94x = 932,838.39
  5. Step 5: Solve for x
    x = 932,838.39/1,413.94
  6. Step 6: Final answer
    x = 659.74

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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.