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Finding the Fourth Proportional to 773.96, 1,161.28 and 286.90

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Solution

The fourth proportional to 773.96, 1,161.28 and 286.90 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.96 : 1,161.28 = 286.90 : x
  2. Step 2: Convert to fraction form
    773.96/1,161.28 = 286.90/x
  3. Step 3: Cross multiply
    773.96x = 1,161.28 × 286.90
  4. Step 4: Simplify right side
    773.96x = 333,171.23
  5. Step 5: Solve for x
    x = 333,171.23/773.96
  6. Step 6: Final answer
    x = 430.48

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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.