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Finding the Fourth Proportional to 1,397.49, 1,928.55 and 768.09

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Solution

The fourth proportional to 1,397.49, 1,928.55 and 768.09 is: 1,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.49 : 1,928.55 = 768.09 : x
  2. Step 2: Convert to fraction form
    1,397.49/1,928.55 = 768.09/x
  3. Step 3: Cross multiply
    1,397.49x = 1,928.55 × 768.09
  4. Step 4: Simplify right side
    1,397.49x = 1,481,295.62
  5. Step 5: Solve for x
    x = 1,481,295.62/1,397.49
  6. Step 6: Final answer
    x = 1,059.97

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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.