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Finding the Fourth Proportional to 1,803.27, 2,704.91 and 504.73

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Solution

The fourth proportional to 1,803.27, 2,704.91 and 504.73 is: 757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.27 : 2,704.91 = 504.73 : x
  2. Step 2: Convert to fraction form
    1,803.27/2,704.91 = 504.73/x
  3. Step 3: Cross multiply
    1,803.27x = 2,704.91 × 504.73
  4. Step 4: Simplify right side
    1,803.27x = 1,365,249.22
  5. Step 5: Solve for x
    x = 1,365,249.22/1,803.27
  6. Step 6: Final answer
    x = 757.10

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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.