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Finding the Fourth Proportional to 991.32, 1,367.97 and 549.23

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Solution

The fourth proportional to 991.32, 1,367.97 and 549.23 is: 757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.32 : 1,367.97 = 549.23 : x
  2. Step 2: Convert to fraction form
    991.32/1,367.97 = 549.23/x
  3. Step 3: Cross multiply
    991.32x = 1,367.97 × 549.23
  4. Step 4: Simplify right side
    991.32x = 751,323.32
  5. Step 5: Solve for x
    x = 751,323.32/991.32
  6. Step 6: Final answer
    x = 757.90

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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.