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Finding the Fourth Proportional to 764.27, 1,146.17 and 277.20

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Solution

The fourth proportional to 764.27, 1,146.17 and 277.20 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.27 : 1,146.17 = 277.20 : x
  2. Step 2: Convert to fraction form
    764.27/1,146.17 = 277.20/x
  3. Step 3: Cross multiply
    764.27x = 1,146.17 × 277.20
  4. Step 4: Simplify right side
    764.27x = 317,716.94
  5. Step 5: Solve for x
    x = 317,716.94/764.27
  6. Step 6: Final answer
    x = 415.72

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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.