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Finding the Fourth Proportional to 773.76, 1,160.73 and 286.81

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Solution

The fourth proportional to 773.76, 1,160.73 and 286.81 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.76 : 1,160.73 = 286.81 : x
  2. Step 2: Convert to fraction form
    773.76/1,160.73 = 286.81/x
  3. Step 3: Cross multiply
    773.76x = 1,160.73 × 286.81
  4. Step 4: Simplify right side
    773.76x = 332,908.97
  5. Step 5: Solve for x
    x = 332,908.97/773.76
  6. Step 6: Final answer
    x = 430.25

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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.