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Finding the Fourth Proportional to 961.97, 1,327.28 and 584.03

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Solution

The fourth proportional to 961.97, 1,327.28 and 584.03 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.97 : 1,327.28 = 584.03 : x
  2. Step 2: Convert to fraction form
    961.97/1,327.28 = 584.03/x
  3. Step 3: Cross multiply
    961.97x = 1,327.28 × 584.03
  4. Step 4: Simplify right side
    961.97x = 775,171.74
  5. Step 5: Solve for x
    x = 775,171.74/961.97
  6. Step 6: Final answer
    x = 805.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.