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Finding the Fourth Proportional to 919.03, 1,268.31 and 525.97

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Solution

The fourth proportional to 919.03, 1,268.31 and 525.97 is: 725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.03 : 1,268.31 = 525.97 : x
  2. Step 2: Convert to fraction form
    919.03/1,268.31 = 525.97/x
  3. Step 3: Cross multiply
    919.03x = 1,268.31 × 525.97
  4. Step 4: Simplify right side
    919.03x = 667,093.01
  5. Step 5: Solve for x
    x = 667,093.01/919.03
  6. Step 6: Final answer
    x = 725.87

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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.