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Finding the Fourth Proportional to 1,198.07, 1,797.36 and 678.31

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Solution

The fourth proportional to 1,198.07, 1,797.36 and 678.31 is: 1,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.07 : 1,797.36 = 678.31 : x
  2. Step 2: Convert to fraction form
    1,198.07/1,797.36 = 678.31/x
  3. Step 3: Cross multiply
    1,198.07x = 1,797.36 × 678.31
  4. Step 4: Simplify right side
    1,198.07x = 1,219,167.09
  5. Step 5: Solve for x
    x = 1,219,167.09/1,198.07
  6. Step 6: Final answer
    x = 1,017.61

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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.