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Finding the Fourth Proportional to 1,216.14, 1,824.44 and 599.68

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Solution

The fourth proportional to 1,216.14, 1,824.44 and 599.68 is: 899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,824.44 = 599.68 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,824.44 = 599.68/x
  3. Step 3: Cross multiply
    1,216.14x = 1,824.44 × 599.68
  4. Step 4: Simplify right side
    1,216.14x = 1,094,080.18
  5. Step 5: Solve for x
    x = 1,094,080.18/1,216.14
  6. Step 6: Final answer
    x = 899.63

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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.