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Finding the Fourth Proportional to 1,211.99, 1,817.97 and 725.18

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Solution

The fourth proportional to 1,211.99, 1,817.97 and 725.18 is: 1,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.99 : 1,817.97 = 725.18 : x
  2. Step 2: Convert to fraction form
    1,211.99/1,817.97 = 725.18/x
  3. Step 3: Cross multiply
    1,211.99x = 1,817.97 × 725.18
  4. Step 4: Simplify right side
    1,211.99x = 1,318,346.39
  5. Step 5: Solve for x
    x = 1,318,346.39/1,211.99
  6. Step 6: Final answer
    x = 1,087.76

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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.