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Finding the Fourth Proportional to 1,243.58, 1,720.37 and 1,022.09

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Solution

The fourth proportional to 1,243.58, 1,720.37 and 1,022.09 is: 1,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.58 : 1,720.37 = 1,022.09 : x
  2. Step 2: Convert to fraction form
    1,243.58/1,720.37 = 1,022.09/x
  3. Step 3: Cross multiply
    1,243.58x = 1,720.37 × 1,022.09
  4. Step 4: Simplify right side
    1,243.58x = 1,758,366.93
  5. Step 5: Solve for x
    x = 1,758,366.93/1,243.58
  6. Step 6: Final answer
    x = 1,413.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.