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Finding the Fourth Proportional to 1,270.71, 1,755.26 and 1,022.96

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Solution

The fourth proportional to 1,270.71, 1,755.26 and 1,022.96 is: 1,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.71 : 1,755.26 = 1,022.96 : x
  2. Step 2: Convert to fraction form
    1,270.71/1,755.26 = 1,022.96/x
  3. Step 3: Cross multiply
    1,270.71x = 1,755.26 × 1,022.96
  4. Step 4: Simplify right side
    1,270.71x = 1,795,546.88
  5. Step 5: Solve for x
    x = 1,795,546.88/1,270.71
  6. Step 6: Final answer
    x = 1,413.03

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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.