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Finding the Fourth Proportional to 961.92, 1,327.56 and 588.82

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Solution

The fourth proportional to 961.92, 1,327.56 and 588.82 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,327.56 = 588.82 : x
  2. Step 2: Convert to fraction form
    961.92/1,327.56 = 588.82/x
  3. Step 3: Cross multiply
    961.92x = 1,327.56 × 588.82
  4. Step 4: Simplify right side
    961.92x = 781,693.88
  5. Step 5: Solve for x
    x = 781,693.88/961.92
  6. Step 6: Final answer
    x = 812.64

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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.