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Finding the Fourth Proportional to 1,191.40, 1,786.82 and 843.71

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Solution

The fourth proportional to 1,191.40, 1,786.82 and 843.71 is: 1,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.40 : 1,786.82 = 843.71 : x
  2. Step 2: Convert to fraction form
    1,191.40/1,786.82 = 843.71/x
  3. Step 3: Cross multiply
    1,191.40x = 1,786.82 × 843.71
  4. Step 4: Simplify right side
    1,191.40x = 1,507,544.75
  5. Step 5: Solve for x
    x = 1,507,544.75/1,191.40
  6. Step 6: Final answer
    x = 1,265.36

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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.