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Finding the Fourth Proportional to 919.28, 1,268.83 and 565.43

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Solution

The fourth proportional to 919.28, 1,268.83 and 565.43 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.28 : 1,268.83 = 565.43 : x
  2. Step 2: Convert to fraction form
    919.28/1,268.83 = 565.43/x
  3. Step 3: Cross multiply
    919.28x = 1,268.83 × 565.43
  4. Step 4: Simplify right side
    919.28x = 717,436.31
  5. Step 5: Solve for x
    x = 717,436.31/919.28
  6. Step 6: Final answer
    x = 780.43

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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.