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Finding the Fourth Proportional to 1,093.97, 1,641.62 and 566.91

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Solution

The fourth proportional to 1,093.97, 1,641.62 and 566.91 is: 850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.97 : 1,641.62 = 566.91 : x
  2. Step 2: Convert to fraction form
    1,093.97/1,641.62 = 566.91/x
  3. Step 3: Cross multiply
    1,093.97x = 1,641.62 × 566.91
  4. Step 4: Simplify right side
    1,093.97x = 930,647.96
  5. Step 5: Solve for x
    x = 930,647.96/1,093.97
  6. Step 6: Final answer
    x = 850.71

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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.