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Finding the Fourth Proportional to 1,234.22, 1,850.72 and 504

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Solution

The fourth proportional to 1,234.22, 1,850.72 and 504 is: 755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.22 : 1,850.72 = 504 : x
  2. Step 2: Convert to fraction form
    1,234.22/1,850.72 = 504/x
  3. Step 3: Cross multiply
    1,234.22x = 1,850.72 × 504
  4. Step 4: Simplify right side
    1,234.22x = 932,760.36
  5. Step 5: Solve for x
    x = 932,760.36/1,234.22
  6. Step 6: Final answer
    x = 755.75

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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.