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Finding the Fourth Proportional to 1,093.77, 1,641.56 and 843.66

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Solution

The fourth proportional to 1,093.77, 1,641.56 and 843.66 is: 1,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.77 : 1,641.56 = 843.66 : x
  2. Step 2: Convert to fraction form
    1,093.77/1,641.56 = 843.66/x
  3. Step 3: Cross multiply
    1,093.77x = 1,641.56 × 843.66
  4. Step 4: Simplify right side
    1,093.77x = 1,384,914.29
  5. Step 5: Solve for x
    x = 1,384,914.29/1,093.77
  6. Step 6: Final answer
    x = 1,266.18

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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.