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Finding the Fourth Proportional to 1,091.08, 1,636.62 and 441.37

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Solution

The fourth proportional to 1,091.08, 1,636.62 and 441.37 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.08 : 1,636.62 = 441.37 : x
  2. Step 2: Convert to fraction form
    1,091.08/1,636.62 = 441.37/x
  3. Step 3: Cross multiply
    1,091.08x = 1,636.62 × 441.37
  4. Step 4: Simplify right side
    1,091.08x = 722,354.97
  5. Step 5: Solve for x
    x = 722,354.97/1,091.08
  6. Step 6: Final answer
    x = 662.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.