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Finding the Fourth Proportional to 1,372.45, 2,057.25 and 677.77

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Solution

The fourth proportional to 1,372.45, 2,057.25 and 677.77 is: 1,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.45 : 2,057.25 = 677.77 : x
  2. Step 2: Convert to fraction form
    1,372.45/2,057.25 = 677.77/x
  3. Step 3: Cross multiply
    1,372.45x = 2,057.25 × 677.77
  4. Step 4: Simplify right side
    1,372.45x = 1,394,342.33
  5. Step 5: Solve for x
    x = 1,394,342.33/1,372.45
  6. Step 6: Final answer
    x = 1,015.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.