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Finding the Fourth Proportional to 1,255.84, 1,732.97 and 696.25

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Solution

The fourth proportional to 1,255.84, 1,732.97 and 696.25 is: 960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.84 : 1,732.97 = 696.25 : x
  2. Step 2: Convert to fraction form
    1,255.84/1,732.97 = 696.25/x
  3. Step 3: Cross multiply
    1,255.84x = 1,732.97 × 696.25
  4. Step 4: Simplify right side
    1,255.84x = 1,206,580.36
  5. Step 5: Solve for x
    x = 1,206,580.36/1,255.84
  6. Step 6: Final answer
    x = 960.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.