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Finding the Fourth Proportional to 927.94, 1,391.97 and 667.23

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Solution

The fourth proportional to 927.94, 1,391.97 and 667.23 is: 1,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.94 : 1,391.97 = 667.23 : x
  2. Step 2: Convert to fraction form
    927.94/1,391.97 = 667.23/x
  3. Step 3: Cross multiply
    927.94x = 1,391.97 × 667.23
  4. Step 4: Simplify right side
    927.94x = 928,764.14
  5. Step 5: Solve for x
    x = 928,764.14/927.94
  6. Step 6: Final answer
    x = 1,000.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.