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Finding the Fourth Proportional to 1,196.02, 1,649.82 and 842.22

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Solution

The fourth proportional to 1,196.02, 1,649.82 and 842.22 is: 1,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.02 : 1,649.82 = 842.22 : x
  2. Step 2: Convert to fraction form
    1,196.02/1,649.82 = 842.22/x
  3. Step 3: Cross multiply
    1,196.02x = 1,649.82 × 842.22
  4. Step 4: Simplify right side
    1,196.02x = 1,389,514.46
  5. Step 5: Solve for x
    x = 1,389,514.46/1,196.02
  6. Step 6: Final answer
    x = 1,161.79

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