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Finding the Fourth Proportional to 771.73, 1,158.27 and 406.78

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Solution

The fourth proportional to 771.73, 1,158.27 and 406.78 is: 610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.73 : 1,158.27 = 406.78 : x
  2. Step 2: Convert to fraction form
    771.73/1,158.27 = 406.78/x
  3. Step 3: Cross multiply
    771.73x = 1,158.27 × 406.78
  4. Step 4: Simplify right side
    771.73x = 471,161.07
  5. Step 5: Solve for x
    x = 471,161.07/771.73
  6. Step 6: Final answer
    x = 610.53

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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.