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Finding the Fourth Proportional to 1,091.06, 1,635.98 and 441.04

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Solution

The fourth proportional to 1,091.06, 1,635.98 and 441.04 is: 661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.06 : 1,635.98 = 441.04 : x
  2. Step 2: Convert to fraction form
    1,091.06/1,635.98 = 441.04/x
  3. Step 3: Cross multiply
    1,091.06x = 1,635.98 × 441.04
  4. Step 4: Simplify right side
    1,091.06x = 721,532.62
  5. Step 5: Solve for x
    x = 721,532.62/1,091.06
  6. Step 6: Final answer
    x = 661.31

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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.