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Finding the Fourth Proportional to 935.33, 1,297.73 and 927.38

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Solution

The fourth proportional to 935.33, 1,297.73 and 927.38 is: 1,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.33 : 1,297.73 = 927.38 : x
  2. Step 2: Convert to fraction form
    935.33/1,297.73 = 927.38/x
  3. Step 3: Cross multiply
    935.33x = 1,297.73 × 927.38
  4. Step 4: Simplify right side
    935.33x = 1,203,494.41
  5. Step 5: Solve for x
    x = 1,203,494.41/935.33
  6. Step 6: Final answer
    x = 1,286.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.