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Finding the Fourth Proportional to 1,413.55, 2,120.67 and 439.65

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Solution

The fourth proportional to 1,413.55, 2,120.67 and 439.65 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.55 : 2,120.67 = 439.65 : x
  2. Step 2: Convert to fraction form
    1,413.55/2,120.67 = 439.65/x
  3. Step 3: Cross multiply
    1,413.55x = 2,120.67 × 439.65
  4. Step 4: Simplify right side
    1,413.55x = 932,352.57
  5. Step 5: Solve for x
    x = 932,352.57/1,413.55
  6. Step 6: Final answer
    x = 659.58

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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.