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Finding the Fourth Proportional to 1,247.29, 1,721.32 and 687.81

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Solution

The fourth proportional to 1,247.29, 1,721.32 and 687.81 is: 949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.29 : 1,721.32 = 687.81 : x
  2. Step 2: Convert to fraction form
    1,247.29/1,721.32 = 687.81/x
  3. Step 3: Cross multiply
    1,247.29x = 1,721.32 × 687.81
  4. Step 4: Simplify right side
    1,247.29x = 1,183,936.16
  5. Step 5: Solve for x
    x = 1,183,936.16/1,247.29
  6. Step 6: Final answer
    x = 949.21

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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.