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Finding the Fourth Proportional to 1,247.56, 1,721.49 and 687.97

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Solution

The fourth proportional to 1,247.56, 1,721.49 and 687.97 is: 949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.56 : 1,721.49 = 687.97 : x
  2. Step 2: Convert to fraction form
    1,247.56/1,721.49 = 687.97/x
  3. Step 3: Cross multiply
    1,247.56x = 1,721.49 × 687.97
  4. Step 4: Simplify right side
    1,247.56x = 1,184,333.48
  5. Step 5: Solve for x
    x = 1,184,333.48/1,247.56
  6. Step 6: Final answer
    x = 949.32

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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.