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Finding the Fourth Proportional to 991.10, 1,366.26 and 728.66

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Solution

The fourth proportional to 991.10, 1,366.26 and 728.66 is: 1,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.10 : 1,366.26 = 728.66 : x
  2. Step 2: Convert to fraction form
    991.10/1,366.26 = 728.66/x
  3. Step 3: Cross multiply
    991.10x = 1,366.26 × 728.66
  4. Step 4: Simplify right side
    991.10x = 995,539.01
  5. Step 5: Solve for x
    x = 995,539.01/991.10
  6. Step 6: Final answer
    x = 1,004.48

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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.