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Finding the Fourth Proportional to 764.65, 1,146.19 and 301.80

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Solution

The fourth proportional to 764.65, 1,146.19 and 301.80 is: 452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.65 : 1,146.19 = 301.80 : x
  2. Step 2: Convert to fraction form
    764.65/1,146.19 = 301.80/x
  3. Step 3: Cross multiply
    764.65x = 1,146.19 × 301.80
  4. Step 4: Simplify right side
    764.65x = 345,920.14
  5. Step 5: Solve for x
    x = 345,920.14/764.65
  6. Step 6: Final answer
    x = 452.39

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