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Finding the Fourth Proportional to 1,015.28, 1,523.69 and 399.14

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Solution

The fourth proportional to 1,015.28, 1,523.69 and 399.14 is: 599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.28 : 1,523.69 = 399.14 : x
  2. Step 2: Convert to fraction form
    1,015.28/1,523.69 = 399.14/x
  3. Step 3: Cross multiply
    1,015.28x = 1,523.69 × 399.14
  4. Step 4: Simplify right side
    1,015.28x = 608,156.01
  5. Step 5: Solve for x
    x = 608,156.01/1,015.28
  6. Step 6: Final answer
    x = 599.01

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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.