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Finding the Fourth Proportional to 893.49, 1,232.82 and 539.43

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Solution

The fourth proportional to 893.49, 1,232.82 and 539.43 is: 744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.49 : 1,232.82 = 539.43 : x
  2. Step 2: Convert to fraction form
    893.49/1,232.82 = 539.43/x
  3. Step 3: Cross multiply
    893.49x = 1,232.82 × 539.43
  4. Step 4: Simplify right side
    893.49x = 665,020.09
  5. Step 5: Solve for x
    x = 665,020.09/893.49
  6. Step 6: Final answer
    x = 744.29

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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.