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Finding the Fourth Proportional to 1,388.21, 2,082.36 and 607.81

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Solution

The fourth proportional to 1,388.21, 2,082.36 and 607.81 is: 911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.21 : 2,082.36 = 607.81 : x
  2. Step 2: Convert to fraction form
    1,388.21/2,082.36 = 607.81/x
  3. Step 3: Cross multiply
    1,388.21x = 2,082.36 × 607.81
  4. Step 4: Simplify right side
    1,388.21x = 1,265,679.56
  5. Step 5: Solve for x
    x = 1,265,679.56/1,388.21
  6. Step 6: Final answer
    x = 911.73

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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.