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Finding the Fourth Proportional to 961.92, 1,327.95 and 588.96

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Solution

The fourth proportional to 961.92, 1,327.95 and 588.96 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,327.95 = 588.96 : x
  2. Step 2: Convert to fraction form
    961.92/1,327.95 = 588.96/x
  3. Step 3: Cross multiply
    961.92x = 1,327.95 × 588.96
  4. Step 4: Simplify right side
    961.92x = 782,109.43
  5. Step 5: Solve for x
    x = 782,109.43/961.92
  6. Step 6: Final answer
    x = 813.07

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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.