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Finding the Fourth Proportional to 1,195.97, 1,650.44 and 672.01

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Solution

The fourth proportional to 1,195.97, 1,650.44 and 672.01 is: 927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.97 : 1,650.44 = 672.01 : x
  2. Step 2: Convert to fraction form
    1,195.97/1,650.44 = 672.01/x
  3. Step 3: Cross multiply
    1,195.97x = 1,650.44 × 672.01
  4. Step 4: Simplify right side
    1,195.97x = 1,109,109.74
  5. Step 5: Solve for x
    x = 1,109,109.74/1,195.97
  6. Step 6: Final answer
    x = 927.38

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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.