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Finding the Fourth Proportional to 927.26, 1,274.90 and 826.75

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Solution

The fourth proportional to 927.26, 1,274.90 and 826.75 is: 1,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.26 : 1,274.90 = 826.75 : x
  2. Step 2: Convert to fraction form
    927.26/1,274.90 = 826.75/x
  3. Step 3: Cross multiply
    927.26x = 1,274.90 × 826.75
  4. Step 4: Simplify right side
    927.26x = 1,054,023.58
  5. Step 5: Solve for x
    x = 1,054,023.58/927.26
  6. Step 6: Final answer
    x = 1,136.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.