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Finding the Fourth Proportional to 1,361.89, 1,879.22 and 772.31

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Solution

The fourth proportional to 1,361.89, 1,879.22 and 772.31 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.89 : 1,879.22 = 772.31 : x
  2. Step 2: Convert to fraction form
    1,361.89/1,879.22 = 772.31/x
  3. Step 3: Cross multiply
    1,361.89x = 1,879.22 × 772.31
  4. Step 4: Simplify right side
    1,361.89x = 1,451,341.23
  5. Step 5: Solve for x
    x = 1,451,341.23/1,361.89
  6. Step 6: Final answer
    x = 1,065.68

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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.