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Finding the Fourth Proportional to 862.22, 1,190.48 and 531.09

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Solution

The fourth proportional to 862.22, 1,190.48 and 531.09 is: 733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.22 : 1,190.48 = 531.09 : x
  2. Step 2: Convert to fraction form
    862.22/1,190.48 = 531.09/x
  3. Step 3: Cross multiply
    862.22x = 1,190.48 × 531.09
  4. Step 4: Simplify right side
    862.22x = 632,249.37
  5. Step 5: Solve for x
    x = 632,249.37/862.22
  6. Step 6: Final answer
    x = 733.29

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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.