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Finding the Fourth Proportional to 1,226.46, 1,839.03 and 404.62

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Solution

The fourth proportional to 1,226.46, 1,839.03 and 404.62 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.46 : 1,839.03 = 404.62 : x
  2. Step 2: Convert to fraction form
    1,226.46/1,839.03 = 404.62/x
  3. Step 3: Cross multiply
    1,226.46x = 1,839.03 × 404.62
  4. Step 4: Simplify right side
    1,226.46x = 744,108.32
  5. Step 5: Solve for x
    x = 744,108.32/1,226.46
  6. Step 6: Final answer
    x = 606.71

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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.