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Finding the Fourth Proportional to 1,338.53, 2,008.22 and 688.77

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Solution

The fourth proportional to 1,338.53, 2,008.22 and 688.77 is: 1,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.53 : 2,008.22 = 688.77 : x
  2. Step 2: Convert to fraction form
    1,338.53/2,008.22 = 688.77/x
  3. Step 3: Cross multiply
    1,338.53x = 2,008.22 × 688.77
  4. Step 4: Simplify right side
    1,338.53x = 1,383,198.25
  5. Step 5: Solve for x
    x = 1,383,198.25/1,338.53
  6. Step 6: Final answer
    x = 1,033.37

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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.