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Finding the Fourth Proportional to 825.87, 1,139.90 and 531.44

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Solution

The fourth proportional to 825.87, 1,139.90 and 531.44 is: 733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.87 : 1,139.90 = 531.44 : x
  2. Step 2: Convert to fraction form
    825.87/1,139.90 = 531.44/x
  3. Step 3: Cross multiply
    825.87x = 1,139.90 × 531.44
  4. Step 4: Simplify right side
    825.87x = 605,780.10
  5. Step 5: Solve for x
    x = 605,780.10/825.87
  6. Step 6: Final answer
    x = 733.51

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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.