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Finding the Fourth Proportional to 1,439.60, 2,158.97 and 399.33

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Solution

The fourth proportional to 1,439.60, 2,158.97 and 399.33 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.60 : 2,158.97 = 399.33 : x
  2. Step 2: Convert to fraction form
    1,439.60/2,158.97 = 399.33/x
  3. Step 3: Cross multiply
    1,439.60x = 2,158.97 × 399.33
  4. Step 4: Simplify right side
    1,439.60x = 862,139.49
  5. Step 5: Solve for x
    x = 862,139.49/1,439.60
  6. Step 6: Final answer
    x = 598.88

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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.