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Finding the Fourth Proportional to 1,252.82, 1,728.85 and 693.27

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Solution

The fourth proportional to 1,252.82, 1,728.85 and 693.27 is: 956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.82 : 1,728.85 = 693.27 : x
  2. Step 2: Convert to fraction form
    1,252.82/1,728.85 = 693.27/x
  3. Step 3: Cross multiply
    1,252.82x = 1,728.85 × 693.27
  4. Step 4: Simplify right side
    1,252.82x = 1,198,556.49
  5. Step 5: Solve for x
    x = 1,198,556.49/1,252.82
  6. Step 6: Final answer
    x = 956.69

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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.