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Finding the Fourth Proportional to 1,234.11, 1,850.46 and 584.85

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Solution

The fourth proportional to 1,234.11, 1,850.46 and 584.85 is: 876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.11 : 1,850.46 = 584.85 : x
  2. Step 2: Convert to fraction form
    1,234.11/1,850.46 = 584.85/x
  3. Step 3: Cross multiply
    1,234.11x = 1,850.46 × 584.85
  4. Step 4: Simplify right side
    1,234.11x = 1,082,232.28
  5. Step 5: Solve for x
    x = 1,082,232.28/1,234.11
  6. Step 6: Final answer
    x = 876.93

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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.