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Finding the Fourth Proportional to 773.76, 1,161.24 and 286.92

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Solution

The fourth proportional to 773.76, 1,161.24 and 286.92 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.76 : 1,161.24 = 286.92 : x
  2. Step 2: Convert to fraction form
    773.76/1,161.24 = 286.92/x
  3. Step 3: Cross multiply
    773.76x = 1,161.24 × 286.92
  4. Step 4: Simplify right side
    773.76x = 333,182.98
  5. Step 5: Solve for x
    x = 333,182.98/773.76
  6. Step 6: Final answer
    x = 430.60

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Why These Related Problems?

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