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Finding the Fourth Proportional to 764.97, 1,147.41 and 302.73

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Solution

The fourth proportional to 764.97, 1,147.41 and 302.73 is: 454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.97 : 1,147.41 = 302.73 : x
  2. Step 2: Convert to fraction form
    764.97/1,147.41 = 302.73/x
  3. Step 3: Cross multiply
    764.97x = 1,147.41 × 302.73
  4. Step 4: Simplify right side
    764.97x = 347,355.43
  5. Step 5: Solve for x
    x = 347,355.43/764.97
  6. Step 6: Final answer
    x = 454.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.