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Finding the Fourth Proportional to 1,195.98, 1,650.37 and 672.09

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Solution

The fourth proportional to 1,195.98, 1,650.37 and 672.09 is: 927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.98 : 1,650.37 = 672.09 : x
  2. Step 2: Convert to fraction form
    1,195.98/1,650.37 = 672.09/x
  3. Step 3: Cross multiply
    1,195.98x = 1,650.37 × 672.09
  4. Step 4: Simplify right side
    1,195.98x = 1,109,197.17
  5. Step 5: Solve for x
    x = 1,109,197.17/1,195.98
  6. Step 6: Final answer
    x = 927.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.