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Finding the Fourth Proportional to 991.90, 1,367.17 and 696.66

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Solution

The fourth proportional to 991.90, 1,367.17 and 696.66 is: 960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.90 : 1,367.17 = 696.66 : x
  2. Step 2: Convert to fraction form
    991.90/1,367.17 = 696.66/x
  3. Step 3: Cross multiply
    991.90x = 1,367.17 × 696.66
  4. Step 4: Simplify right side
    991.90x = 952,452.65
  5. Step 5: Solve for x
    x = 952,452.65/991.90
  6. Step 6: Final answer
    x = 960.23

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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.