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Finding the Fourth Proportional to 1,247.70, 1,721.81 and 723.74

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Solution

The fourth proportional to 1,247.70, 1,721.81 and 723.74 is: 998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.70 : 1,721.81 = 723.74 : x
  2. Step 2: Convert to fraction form
    1,247.70/1,721.81 = 723.74/x
  3. Step 3: Cross multiply
    1,247.70x = 1,721.81 × 723.74
  4. Step 4: Simplify right side
    1,247.70x = 1,246,135.97
  5. Step 5: Solve for x
    x = 1,246,135.97/1,247.70
  6. Step 6: Final answer
    x = 998.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.