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Finding the Fourth Proportional to 1,191.51, 1,788.38 and 843.85

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Solution

The fourth proportional to 1,191.51, 1,788.38 and 843.85 is: 1,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.51 : 1,788.38 = 843.85 : x
  2. Step 2: Convert to fraction form
    1,191.51/1,788.38 = 843.85/x
  3. Step 3: Cross multiply
    1,191.51x = 1,788.38 × 843.85
  4. Step 4: Simplify right side
    1,191.51x = 1,509,125.64
  5. Step 5: Solve for x
    x = 1,509,125.64/1,191.51
  6. Step 6: Final answer
    x = 1,266.57

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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.