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Finding the Fourth Proportional to 1,247.23, 1,721.25 and 687.70

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Solution

The fourth proportional to 1,247.23, 1,721.25 and 687.70 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.23 : 1,721.25 = 687.70 : x
  2. Step 2: Convert to fraction form
    1,247.23/1,721.25 = 687.70/x
  3. Step 3: Cross multiply
    1,247.23x = 1,721.25 × 687.70
  4. Step 4: Simplify right side
    1,247.23x = 1,183,699.48
  5. Step 5: Solve for x
    x = 1,183,699.48/1,247.23
  6. Step 6: Final answer
    x = 949.06

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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.