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Finding the Fourth Proportional to 1,091.22, 1,636.78 and 269.47

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Solution

The fourth proportional to 1,091.22, 1,636.78 and 269.47 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.22 : 1,636.78 = 269.47 : x
  2. Step 2: Convert to fraction form
    1,091.22/1,636.78 = 269.47/x
  3. Step 3: Cross multiply
    1,091.22x = 1,636.78 × 269.47
  4. Step 4: Simplify right side
    1,091.22x = 441,063.11
  5. Step 5: Solve for x
    x = 441,063.11/1,091.22
  6. Step 6: Final answer
    x = 404.19

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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.