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Finding the Fourth Proportional to 1,086.67, 1,629.92 and 531.55

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Solution

The fourth proportional to 1,086.67, 1,629.92 and 531.55 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.67 : 1,629.92 = 531.55 : x
  2. Step 2: Convert to fraction form
    1,086.67/1,629.92 = 531.55/x
  3. Step 3: Cross multiply
    1,086.67x = 1,629.92 × 531.55
  4. Step 4: Simplify right side
    1,086.67x = 866,383.98
  5. Step 5: Solve for x
    x = 866,383.98/1,086.67
  6. Step 6: Final answer
    x = 797.28

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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.