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Finding the Fourth Proportional to 766.99, 1,150.20 and 304.63

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Solution

The fourth proportional to 766.99, 1,150.20 and 304.63 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.99 : 1,150.20 = 304.63 : x
  2. Step 2: Convert to fraction form
    766.99/1,150.20 = 304.63/x
  3. Step 3: Cross multiply
    766.99x = 1,150.20 × 304.63
  4. Step 4: Simplify right side
    766.99x = 350,385.43
  5. Step 5: Solve for x
    x = 350,385.43/766.99
  6. Step 6: Final answer
    x = 456.83

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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.