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Finding the Fourth Proportional to 845.87, 1,268.03 and 406.85

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Solution

The fourth proportional to 845.87, 1,268.03 and 406.85 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.87 : 1,268.03 = 406.85 : x
  2. Step 2: Convert to fraction form
    845.87/1,268.03 = 406.85/x
  3. Step 3: Cross multiply
    845.87x = 1,268.03 × 406.85
  4. Step 4: Simplify right side
    845.87x = 515,892.68
  5. Step 5: Solve for x
    x = 515,892.68/845.87
  6. Step 6: Final answer
    x = 609.90

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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.