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Finding the Fourth Proportional to 1,170.27, 1,755.87 and 1,151.82

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Solution

The fourth proportional to 1,170.27, 1,755.87 and 1,151.82 is: 1,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.27 : 1,755.87 = 1,151.82 : x
  2. Step 2: Convert to fraction form
    1,170.27/1,755.87 = 1,151.82/x
  3. Step 3: Cross multiply
    1,170.27x = 1,755.87 × 1,151.82
  4. Step 4: Simplify right side
    1,170.27x = 2,022,446.18
  5. Step 5: Solve for x
    x = 2,022,446.18/1,170.27
  6. Step 6: Final answer
    x = 1,728.19

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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.