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Finding the Fourth Proportional to 961.89, 1,327.17 and 588.74

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Solution

The fourth proportional to 961.89, 1,327.17 and 588.74 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.89 : 1,327.17 = 588.74 : x
  2. Step 2: Convert to fraction form
    961.89/1,327.17 = 588.74/x
  3. Step 3: Cross multiply
    961.89x = 1,327.17 × 588.74
  4. Step 4: Simplify right side
    961.89x = 781,358.07
  5. Step 5: Solve for x
    x = 781,358.07/961.89
  6. Step 6: Final answer
    x = 812.32

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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.