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Finding the Fourth Proportional to 1,091, 1,636.53 and 269.27

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Solution

The fourth proportional to 1,091, 1,636.53 and 269.27 is: 403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091 : 1,636.53 = 269.27 : x
  2. Step 2: Convert to fraction form
    1,091/1,636.53 = 269.27/x
  3. Step 3: Cross multiply
    1,091x = 1,636.53 × 269.27
  4. Step 4: Simplify right side
    1,091x = 440,668.43
  5. Step 5: Solve for x
    x = 440,668.43/1,091
  6. Step 6: Final answer
    x = 403.91

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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.