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Finding the Fourth Proportional to 1,198.46, 1,797.42 and 781.85

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Solution

The fourth proportional to 1,198.46, 1,797.42 and 781.85 is: 1,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.46 : 1,797.42 = 781.85 : x
  2. Step 2: Convert to fraction form
    1,198.46/1,797.42 = 781.85/x
  3. Step 3: Cross multiply
    1,198.46x = 1,797.42 × 781.85
  4. Step 4: Simplify right side
    1,198.46x = 1,405,312.83
  5. Step 5: Solve for x
    x = 1,405,312.83/1,198.46
  6. Step 6: Final answer
    x = 1,172.60

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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.