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Finding the Fourth Proportional to 1,161.49, 1,741.83 and 728.14

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Solution

The fourth proportional to 1,161.49, 1,741.83 and 728.14 is: 1,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.49 : 1,741.83 = 728.14 : x
  2. Step 2: Convert to fraction form
    1,161.49/1,741.83 = 728.14/x
  3. Step 3: Cross multiply
    1,161.49x = 1,741.83 × 728.14
  4. Step 4: Simplify right side
    1,161.49x = 1,268,296.10
  5. Step 5: Solve for x
    x = 1,268,296.10/1,161.49
  6. Step 6: Final answer
    x = 1,091.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.