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Finding the Fourth Proportional to 1,439.31, 2,158.73 and 399.42

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Solution

The fourth proportional to 1,439.31, 2,158.73 and 399.42 is: 599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.31 : 2,158.73 = 399.42 : x
  2. Step 2: Convert to fraction form
    1,439.31/2,158.73 = 399.42/x
  3. Step 3: Cross multiply
    1,439.31x = 2,158.73 × 399.42
  4. Step 4: Simplify right side
    1,439.31x = 862,240.94
  5. Step 5: Solve for x
    x = 862,240.94/1,439.31
  6. Step 6: Final answer
    x = 599.06

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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.