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Finding the Fourth Proportional to 773.87, 1,160.96 and 286.92

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Solution

The fourth proportional to 773.87, 1,160.96 and 286.92 is: 430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.87 : 1,160.96 = 286.92 : x
  2. Step 2: Convert to fraction form
    773.87/1,160.96 = 286.92/x
  3. Step 3: Cross multiply
    773.87x = 1,160.96 × 286.92
  4. Step 4: Simplify right side
    773.87x = 333,101.21
  5. Step 5: Solve for x
    x = 333,101.21/773.87
  6. Step 6: Final answer
    x = 430.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.