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Finding the Fourth Proportional to 766.97, 1,150.55 and 304.73

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Solution

The fourth proportional to 766.97, 1,150.55 and 304.73 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.97 : 1,150.55 = 304.73 : x
  2. Step 2: Convert to fraction form
    766.97/1,150.55 = 304.73/x
  3. Step 3: Cross multiply
    766.97x = 1,150.55 × 304.73
  4. Step 4: Simplify right side
    766.97x = 350,607.10
  5. Step 5: Solve for x
    x = 350,607.10/766.97
  6. Step 6: Final answer
    x = 457.13

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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.