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Finding the Fourth Proportional to 1,191.24, 1,643.96 and 667.27

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Solution

The fourth proportional to 1,191.24, 1,643.96 and 667.27 is: 920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.24 : 1,643.96 = 667.27 : x
  2. Step 2: Convert to fraction form
    1,191.24/1,643.96 = 667.27/x
  3. Step 3: Cross multiply
    1,191.24x = 1,643.96 × 667.27
  4. Step 4: Simplify right side
    1,191.24x = 1,096,962.75
  5. Step 5: Solve for x
    x = 1,096,962.75/1,191.24
  6. Step 6: Final answer
    x = 920.86

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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.