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Finding the Fourth Proportional to 1,251.75, 1,727.42 and 699.75

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Solution

The fourth proportional to 1,251.75, 1,727.42 and 699.75 is: 965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.75 : 1,727.42 = 699.75 : x
  2. Step 2: Convert to fraction form
    1,251.75/1,727.42 = 699.75/x
  3. Step 3: Cross multiply
    1,251.75x = 1,727.42 × 699.75
  4. Step 4: Simplify right side
    1,251.75x = 1,208,758.65
  5. Step 5: Solve for x
    x = 1,208,758.65/1,251.75
  6. Step 6: Final answer
    x = 965.66

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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.