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Finding the Fourth Proportional to 1,270.73, 1,754.15 and 773.55

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Solution

The fourth proportional to 1,270.73, 1,754.15 and 773.55 is: 1,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.73 : 1,754.15 = 773.55 : x
  2. Step 2: Convert to fraction form
    1,270.73/1,754.15 = 773.55/x
  3. Step 3: Cross multiply
    1,270.73x = 1,754.15 × 773.55
  4. Step 4: Simplify right side
    1,270.73x = 1,356,918.86
  5. Step 5: Solve for x
    x = 1,356,918.86/1,270.73
  6. Step 6: Final answer
    x = 1,067.82

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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.