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Finding the Fourth Proportional to 919, 1,268.16 and 525.96

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Solution

The fourth proportional to 919, 1,268.16 and 525.96 is: 725.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    919 : 1,268.16 = 525.96 : x
  2. Step 2: Convert to fraction form
    919/1,268.16 = 525.96/x
  3. Step 3: Cross multiply
    919x = 1,268.16 × 525.96
  4. Step 4: Simplify right side
    919x = 667,001.43
  5. Step 5: Solve for x
    x = 667,001.43/919
  6. Step 6: Final answer
    x = 725.79

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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.