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Finding the Fourth Proportional to 991.82, 1,367.44 and 814.14

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Solution

The fourth proportional to 991.82, 1,367.44 and 814.14 is: 1,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.82 : 1,367.44 = 814.14 : x
  2. Step 2: Convert to fraction form
    991.82/1,367.44 = 814.14/x
  3. Step 3: Cross multiply
    991.82x = 1,367.44 × 814.14
  4. Step 4: Simplify right side
    991.82x = 1,113,287.60
  5. Step 5: Solve for x
    x = 1,113,287.60/991.82
  6. Step 6: Final answer
    x = 1,122.47

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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.