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Finding the Fourth Proportional to 961.91, 1,327.49 and 568.92

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Solution

The fourth proportional to 961.91, 1,327.49 and 568.92 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.91 : 1,327.49 = 568.92 : x
  2. Step 2: Convert to fraction form
    961.91/1,327.49 = 568.92/x
  3. Step 3: Cross multiply
    961.91x = 1,327.49 × 568.92
  4. Step 4: Simplify right side
    961.91x = 755,232.77
  5. Step 5: Solve for x
    x = 755,232.77/961.91
  6. Step 6: Final answer
    x = 785.14

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