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Finding the Fourth Proportional to 1,198.13, 1,797.90 and 504.76

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Solution

The fourth proportional to 1,198.13, 1,797.90 and 504.76 is: 757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.13 : 1,797.90 = 504.76 : x
  2. Step 2: Convert to fraction form
    1,198.13/1,797.90 = 504.76/x
  3. Step 3: Cross multiply
    1,198.13x = 1,797.90 × 504.76
  4. Step 4: Simplify right side
    1,198.13x = 907,499.93
  5. Step 5: Solve for x
    x = 907,499.93/1,198.13
  6. Step 6: Final answer
    x = 757.43

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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.