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Finding the Fourth Proportional to 1,226.15, 1,839.29 and 404.50

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Solution

The fourth proportional to 1,226.15, 1,839.29 and 404.50 is: 606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.15 : 1,839.29 = 404.50 : x
  2. Step 2: Convert to fraction form
    1,226.15/1,839.29 = 404.50/x
  3. Step 3: Cross multiply
    1,226.15x = 1,839.29 × 404.50
  4. Step 4: Simplify right side
    1,226.15x = 743,981.59
  5. Step 5: Solve for x
    x = 743,981.59/1,226.15
  6. Step 6: Final answer
    x = 606.76

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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.