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Finding the Fourth Proportional to 801.36, 1,202.04 and 641.16

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Solution

The fourth proportional to 801.36, 1,202.04 and 641.16 is: 961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,202.04 = 641.16 : x
  2. Step 2: Convert to fraction form
    801.36/1,202.04 = 641.16/x
  3. Step 3: Cross multiply
    801.36x = 1,202.04 × 641.16
  4. Step 4: Simplify right side
    801.36x = 770,699.97
  5. Step 5: Solve for x
    x = 770,699.97/801.36
  6. Step 6: Final answer
    x = 961.74

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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.