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Finding the Fourth Proportional to 1,338.02, 2,007.03 and 688.94

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Solution

The fourth proportional to 1,338.02, 2,007.03 and 688.94 is: 1,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.02 : 2,007.03 = 688.94 : x
  2. Step 2: Convert to fraction form
    1,338.02/2,007.03 = 688.94/x
  3. Step 3: Cross multiply
    1,338.02x = 2,007.03 × 688.94
  4. Step 4: Simplify right side
    1,338.02x = 1,382,723.25
  5. Step 5: Solve for x
    x = 1,382,723.25/1,338.02
  6. Step 6: Final answer
    x = 1,033.41

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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.