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Finding the Fourth Proportional to 1,246.92, 1,721.34 and 722.76

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Solution

The fourth proportional to 1,246.92, 1,721.34 and 722.76 is: 997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.92 : 1,721.34 = 722.76 : x
  2. Step 2: Convert to fraction form
    1,246.92/1,721.34 = 722.76/x
  3. Step 3: Cross multiply
    1,246.92x = 1,721.34 × 722.76
  4. Step 4: Simplify right side
    1,246.92x = 1,244,115.70
  5. Step 5: Solve for x
    x = 1,244,115.70/1,246.92
  6. Step 6: Final answer
    x = 997.75

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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.