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Finding the Fourth Proportional to 1,216.43, 1,824.09 and 599.89

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Solution

The fourth proportional to 1,216.43, 1,824.09 and 599.89 is: 899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.43 : 1,824.09 = 599.89 : x
  2. Step 2: Convert to fraction form
    1,216.43/1,824.09 = 599.89/x
  3. Step 3: Cross multiply
    1,216.43x = 1,824.09 × 599.89
  4. Step 4: Simplify right side
    1,216.43x = 1,094,251.17
  5. Step 5: Solve for x
    x = 1,094,251.17/1,216.43
  6. Step 6: Final answer
    x = 899.56

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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.