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Finding the Fourth Proportional to 1,198.55, 1,797.48 and 540.07

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Solution

The fourth proportional to 1,198.55, 1,797.48 and 540.07 is: 809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.55 : 1,797.48 = 540.07 : x
  2. Step 2: Convert to fraction form
    1,198.55/1,797.48 = 540.07/x
  3. Step 3: Cross multiply
    1,198.55x = 1,797.48 × 540.07
  4. Step 4: Simplify right side
    1,198.55x = 970,760.53
  5. Step 5: Solve for x
    x = 970,760.53/1,198.55
  6. Step 6: Final answer
    x = 809.94

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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.