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Finding the Fourth Proportional to 1,426.90, 1,968.32 and 896.56

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Solution

The fourth proportional to 1,426.90, 1,968.32 and 896.56 is: 1,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.90 : 1,968.32 = 896.56 : x
  2. Step 2: Convert to fraction form
    1,426.90/1,968.32 = 896.56/x
  3. Step 3: Cross multiply
    1,426.90x = 1,968.32 × 896.56
  4. Step 4: Simplify right side
    1,426.90x = 1,764,716.98
  5. Step 5: Solve for x
    x = 1,764,716.98/1,426.90
  6. Step 6: Final answer
    x = 1,236.75

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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.