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Finding the Fourth Proportional to 961.88, 1,327.50 and 588.92

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Solution

The fourth proportional to 961.88, 1,327.50 and 588.92 is: 812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.88 : 1,327.50 = 588.92 : x
  2. Step 2: Convert to fraction form
    961.88/1,327.50 = 588.92/x
  3. Step 3: Cross multiply
    961.88x = 1,327.50 × 588.92
  4. Step 4: Simplify right side
    961.88x = 781,791.30
  5. Step 5: Solve for x
    x = 781,791.30/961.88
  6. Step 6: Final answer
    x = 812.77

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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.