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Finding the Fourth Proportional to 1,221.24, 1,830.73 and 399.09

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Solution

The fourth proportional to 1,221.24, 1,830.73 and 399.09 is: 598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,830.73 = 399.09 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,830.73 = 399.09/x
  3. Step 3: Cross multiply
    1,221.24x = 1,830.73 × 399.09
  4. Step 4: Simplify right side
    1,221.24x = 730,626.04
  5. Step 5: Solve for x
    x = 730,626.04/1,221.24
  6. Step 6: Final answer
    x = 598.27

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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.