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Finding the Fourth Proportional to 1,015.38, 1,522.94 and 399.52

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Solution

The fourth proportional to 1,015.38, 1,522.94 and 399.52 is: 599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.38 : 1,522.94 = 399.52 : x
  2. Step 2: Convert to fraction form
    1,015.38/1,522.94 = 399.52/x
  3. Step 3: Cross multiply
    1,015.38x = 1,522.94 × 399.52
  4. Step 4: Simplify right side
    1,015.38x = 608,439.18
  5. Step 5: Solve for x
    x = 608,439.18/1,015.38
  6. Step 6: Final answer
    x = 599.22

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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.