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Finding the Fourth Proportional to 1,221.41, 1,832.37 and 399.60

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Solution

The fourth proportional to 1,221.41, 1,832.37 and 399.60 is: 599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.41 : 1,832.37 = 399.60 : x
  2. Step 2: Convert to fraction form
    1,221.41/1,832.37 = 399.60/x
  3. Step 3: Cross multiply
    1,221.41x = 1,832.37 × 399.60
  4. Step 4: Simplify right side
    1,221.41x = 732,203.89
  5. Step 5: Solve for x
    x = 732,203.89/1,221.41
  6. Step 6: Final answer
    x = 599.48

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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.