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Finding the Fourth Proportional to 1,226.23, 1,839.17 and 404.53

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Solution

The fourth proportional to 1,226.23, 1,839.17 and 404.53 is: 606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.23 : 1,839.17 = 404.53 : x
  2. Step 2: Convert to fraction form
    1,226.23/1,839.17 = 404.53/x
  3. Step 3: Cross multiply
    1,226.23x = 1,839.17 × 404.53
  4. Step 4: Simplify right side
    1,226.23x = 743,997.42
  5. Step 5: Solve for x
    x = 743,997.42/1,226.23
  6. Step 6: Final answer
    x = 606.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.