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Finding the Fourth Proportional to 764.02, 1,146.05 and 301.78

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Solution

The fourth proportional to 764.02, 1,146.05 and 301.78 is: 452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.02 : 1,146.05 = 301.78 : x
  2. Step 2: Convert to fraction form
    764.02/1,146.05 = 301.78/x
  3. Step 3: Cross multiply
    764.02x = 1,146.05 × 301.78
  4. Step 4: Simplify right side
    764.02x = 345,854.97
  5. Step 5: Solve for x
    x = 345,854.97/764.02
  6. Step 6: Final answer
    x = 452.68

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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.