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Finding the Fourth Proportional to 911.05, 1,257.32 and 744.80

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Solution

The fourth proportional to 911.05, 1,257.32 and 744.80 is: 1,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.05 : 1,257.32 = 744.80 : x
  2. Step 2: Convert to fraction form
    911.05/1,257.32 = 744.80/x
  3. Step 3: Cross multiply
    911.05x = 1,257.32 × 744.80
  4. Step 4: Simplify right side
    911.05x = 936,447.51
  5. Step 5: Solve for x
    x = 936,447.51/911.05
  6. Step 6: Final answer
    x = 1,027.88

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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.