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Finding the Fourth Proportional to 1,229.97, 1,697.25 and 698.82

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Solution

The fourth proportional to 1,229.97, 1,697.25 and 698.82 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.97 : 1,697.25 = 698.82 : x
  2. Step 2: Convert to fraction form
    1,229.97/1,697.25 = 698.82/x
  3. Step 3: Cross multiply
    1,229.97x = 1,697.25 × 698.82
  4. Step 4: Simplify right side
    1,229.97x = 1,186,072.25
  5. Step 5: Solve for x
    x = 1,186,072.25/1,229.97
  6. Step 6: Final answer
    x = 964.31

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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.