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Finding the Fourth Proportional to 1,221.24, 1,832.01 and 399.30

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Solution

The fourth proportional to 1,221.24, 1,832.01 and 399.30 is: 599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,832.01 = 399.30 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,832.01 = 399.30/x
  3. Step 3: Cross multiply
    1,221.24x = 1,832.01 × 399.30
  4. Step 4: Simplify right side
    1,221.24x = 731,521.59
  5. Step 5: Solve for x
    x = 731,521.59/1,221.24
  6. Step 6: Final answer
    x = 599.00

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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.