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Finding the Fourth Proportional to 1,191.23, 1,643.91 and 667.25

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Solution

The fourth proportional to 1,191.23, 1,643.91 and 667.25 is: 920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.23 : 1,643.91 = 667.25 : x
  2. Step 2: Convert to fraction form
    1,191.23/1,643.91 = 667.25/x
  3. Step 3: Cross multiply
    1,191.23x = 1,643.91 × 667.25
  4. Step 4: Simplify right side
    1,191.23x = 1,096,898.95
  5. Step 5: Solve for x
    x = 1,096,898.95/1,191.23
  6. Step 6: Final answer
    x = 920.81

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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.