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Finding the Fourth Proportional to 1,371.59, 1,892.32 and 774.01

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Solution

The fourth proportional to 1,371.59, 1,892.32 and 774.01 is: 1,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.59 : 1,892.32 = 774.01 : x
  2. Step 2: Convert to fraction form
    1,371.59/1,892.32 = 774.01/x
  3. Step 3: Cross multiply
    1,371.59x = 1,892.32 × 774.01
  4. Step 4: Simplify right side
    1,371.59x = 1,464,661.27
  5. Step 5: Solve for x
    x = 1,464,661.27/1,371.59
  6. Step 6: Final answer
    x = 1,067.86

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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.