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Finding the Fourth Proportional to 766.36, 1,057.18 and 451.42

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Solution

The fourth proportional to 766.36, 1,057.18 and 451.42 is: 622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.36 : 1,057.18 = 451.42 : x
  2. Step 2: Convert to fraction form
    766.36/1,057.18 = 451.42/x
  3. Step 3: Cross multiply
    766.36x = 1,057.18 × 451.42
  4. Step 4: Simplify right side
    766.36x = 477,232.20
  5. Step 5: Solve for x
    x = 477,232.20/766.36
  6. Step 6: Final answer
    x = 622.73

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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.