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Finding the Fourth Proportional to 1,413.26, 2,119.09 and 580.09

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Solution

The fourth proportional to 1,413.26, 2,119.09 and 580.09 is: 869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.26 : 2,119.09 = 580.09 : x
  2. Step 2: Convert to fraction form
    1,413.26/2,119.09 = 580.09/x
  3. Step 3: Cross multiply
    1,413.26x = 2,119.09 × 580.09
  4. Step 4: Simplify right side
    1,413.26x = 1,229,253.64
  5. Step 5: Solve for x
    x = 1,229,253.64/1,413.26
  6. Step 6: Final answer
    x = 869.80

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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.