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Finding the Fourth Proportional to 1,255.71, 1,732.89 and 696.19

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Solution

The fourth proportional to 1,255.71, 1,732.89 and 696.19 is: 960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.71 : 1,732.89 = 696.19 : x
  2. Step 2: Convert to fraction form
    1,255.71/1,732.89 = 696.19/x
  3. Step 3: Cross multiply
    1,255.71x = 1,732.89 × 696.19
  4. Step 4: Simplify right side
    1,255.71x = 1,206,420.69
  5. Step 5: Solve for x
    x = 1,206,420.69/1,255.71
  6. Step 6: Final answer
    x = 960.75

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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.