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Finding the Fourth Proportional to 911.09, 1,355.73 and 908.02

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Solution

The fourth proportional to 911.09, 1,355.73 and 908.02 is: 1,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.09 : 1,355.73 = 908.02 : x
  2. Step 2: Convert to fraction form
    911.09/1,355.73 = 908.02/x
  3. Step 3: Cross multiply
    911.09x = 1,355.73 × 908.02
  4. Step 4: Simplify right side
    911.09x = 1,231,020.91
  5. Step 5: Solve for x
    x = 1,231,020.91/911.09
  6. Step 6: Final answer
    x = 1,351.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.