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Finding the Fourth Proportional to 1,613.21, 2,419.80 and 443.22

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Solution

The fourth proportional to 1,613.21, 2,419.80 and 443.22 is: 664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.21 : 2,419.80 = 443.22 : x
  2. Step 2: Convert to fraction form
    1,613.21/2,419.80 = 443.22/x
  3. Step 3: Cross multiply
    1,613.21x = 2,419.80 × 443.22
  4. Step 4: Simplify right side
    1,613.21x = 1,072,503.76
  5. Step 5: Solve for x
    x = 1,072,503.76/1,613.21
  6. Step 6: Final answer
    x = 664.83

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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.