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Finding the Fourth Proportional to 866.07, 1,195.22 and 571.12

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Solution

The fourth proportional to 866.07, 1,195.22 and 571.12 is: 788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.07 : 1,195.22 = 571.12 : x
  2. Step 2: Convert to fraction form
    866.07/1,195.22 = 571.12/x
  3. Step 3: Cross multiply
    866.07x = 1,195.22 × 571.12
  4. Step 4: Simplify right side
    866.07x = 682,614.05
  5. Step 5: Solve for x
    x = 682,614.05/866.07
  6. Step 6: Final answer
    x = 788.17

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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.