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Finding the Fourth Proportional to 1,227.72, 1,694.16 and 696.54

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Solution

The fourth proportional to 1,227.72, 1,694.16 and 696.54 is: 961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.72 : 1,694.16 = 696.54 : x
  2. Step 2: Convert to fraction form
    1,227.72/1,694.16 = 696.54/x
  3. Step 3: Cross multiply
    1,227.72x = 1,694.16 × 696.54
  4. Step 4: Simplify right side
    1,227.72x = 1,180,050.21
  5. Step 5: Solve for x
    x = 1,180,050.21/1,227.72
  6. Step 6: Final answer
    x = 961.17

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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.