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Finding the Fourth Proportional to 919.56, 1,268.49 and 616.80

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Solution

The fourth proportional to 919.56, 1,268.49 and 616.80 is: 850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.56 : 1,268.49 = 616.80 : x
  2. Step 2: Convert to fraction form
    919.56/1,268.49 = 616.80/x
  3. Step 3: Cross multiply
    919.56x = 1,268.49 × 616.80
  4. Step 4: Simplify right side
    919.56x = 782,404.63
  5. Step 5: Solve for x
    x = 782,404.63/919.56
  6. Step 6: Final answer
    x = 850.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.