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Finding the Fourth Proportional to 1,221.14, 1,832.09 and 399.42

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Solution

The fourth proportional to 1,221.14, 1,832.09 and 399.42 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.14 : 1,832.09 = 399.42 : x
  2. Step 2: Convert to fraction form
    1,221.14/1,832.09 = 399.42/x
  3. Step 3: Cross multiply
    1,221.14x = 1,832.09 × 399.42
  4. Step 4: Simplify right side
    1,221.14x = 731,773.39
  5. Step 5: Solve for x
    x = 731,773.39/1,221.14
  6. Step 6: Final answer
    x = 599.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.