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Finding the Fourth Proportional to 1,226.02, 1,839.52 and 576.80

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Solution

The fourth proportional to 1,226.02, 1,839.52 and 576.80 is: 865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.02 : 1,839.52 = 576.80 : x
  2. Step 2: Convert to fraction form
    1,226.02/1,839.52 = 576.80/x
  3. Step 3: Cross multiply
    1,226.02x = 1,839.52 × 576.80
  4. Step 4: Simplify right side
    1,226.02x = 1,061,035.14
  5. Step 5: Solve for x
    x = 1,061,035.14/1,226.02
  6. Step 6: Final answer
    x = 865.43

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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.