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Finding the Fourth Proportional to 1,233.96, 1,850.90 and 823.88

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Solution

The fourth proportional to 1,233.96, 1,850.90 and 823.88 is: 1,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.96 : 1,850.90 = 823.88 : x
  2. Step 2: Convert to fraction form
    1,233.96/1,850.90 = 823.88/x
  3. Step 3: Cross multiply
    1,233.96x = 1,850.90 × 823.88
  4. Step 4: Simplify right side
    1,233.96x = 1,524,919.49
  5. Step 5: Solve for x
    x = 1,524,919.49/1,233.96
  6. Step 6: Final answer
    x = 1,235.79

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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.