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Finding the Fourth Proportional to 1,195.41, 1,649.62 and 671.44

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Solution

The fourth proportional to 1,195.41, 1,649.62 and 671.44 is: 926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.41 : 1,649.62 = 671.44 : x
  2. Step 2: Convert to fraction form
    1,195.41/1,649.62 = 671.44/x
  3. Step 3: Cross multiply
    1,195.41x = 1,649.62 × 671.44
  4. Step 4: Simplify right side
    1,195.41x = 1,107,616.88
  5. Step 5: Solve for x
    x = 1,107,616.88/1,195.41
  6. Step 6: Final answer
    x = 926.56

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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.