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Finding the Fourth Proportional to 1,173.27, 1,760.59 and 843.85

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Solution

The fourth proportional to 1,173.27, 1,760.59 and 843.85 is: 1,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.27 : 1,760.59 = 843.85 : x
  2. Step 2: Convert to fraction form
    1,173.27/1,760.59 = 843.85/x
  3. Step 3: Cross multiply
    1,173.27x = 1,760.59 × 843.85
  4. Step 4: Simplify right side
    1,173.27x = 1,485,672.38
  5. Step 5: Solve for x
    x = 1,485,672.38/1,173.27
  6. Step 6: Final answer
    x = 1,266.27

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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.