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Finding the Fourth Proportional to 1,371.56, 1,892.29 and 773.99

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Solution

The fourth proportional to 1,371.56, 1,892.29 and 773.99 is: 1,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.56 : 1,892.29 = 773.99 : x
  2. Step 2: Convert to fraction form
    1,371.56/1,892.29 = 773.99/x
  3. Step 3: Cross multiply
    1,371.56x = 1,892.29 × 773.99
  4. Step 4: Simplify right side
    1,371.56x = 1,464,604.08
  5. Step 5: Solve for x
    x = 1,464,604.08/1,371.56
  6. Step 6: Final answer
    x = 1,067.84

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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.