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Finding the Fourth Proportional to 1,361.97, 1,879.61 and 772.29

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Solution

The fourth proportional to 1,361.97, 1,879.61 and 772.29 is: 1,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.97 : 1,879.61 = 772.29 : x
  2. Step 2: Convert to fraction form
    1,361.97/1,879.61 = 772.29/x
  3. Step 3: Cross multiply
    1,361.97x = 1,879.61 × 772.29
  4. Step 4: Simplify right side
    1,361.97x = 1,451,600.15
  5. Step 5: Solve for x
    x = 1,451,600.15/1,361.97
  6. Step 6: Final answer
    x = 1,065.81

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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.