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Finding the Fourth Proportional to 766.45, 1,149.83 and 304.14

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Solution

The fourth proportional to 766.45, 1,149.83 and 304.14 is: 456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.45 : 1,149.83 = 304.14 : x
  2. Step 2: Convert to fraction form
    766.45/1,149.83 = 304.14/x
  3. Step 3: Cross multiply
    766.45x = 1,149.83 × 304.14
  4. Step 4: Simplify right side
    766.45x = 349,709.30
  5. Step 5: Solve for x
    x = 349,709.30/766.45
  6. Step 6: Final answer
    x = 456.27

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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.