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Finding the Fourth Proportional to 919.20, 1,268.40 and 744.48

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Solution

The fourth proportional to 919.20, 1,268.40 and 744.48 is: 1,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.20 : 1,268.40 = 744.48 : x
  2. Step 2: Convert to fraction form
    919.20/1,268.40 = 744.48/x
  3. Step 3: Cross multiply
    919.20x = 1,268.40 × 744.48
  4. Step 4: Simplify right side
    919.20x = 944,298.43
  5. Step 5: Solve for x
    x = 944,298.43/919.20
  6. Step 6: Final answer
    x = 1,027.30

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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.