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Finding the Fourth Proportional to 766.38, 1,148.77 and 303.97

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Solution

The fourth proportional to 766.38, 1,148.77 and 303.97 is: 455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,148.77 = 303.97 : x
  2. Step 2: Convert to fraction form
    766.38/1,148.77 = 303.97/x
  3. Step 3: Cross multiply
    766.38x = 1,148.77 × 303.97
  4. Step 4: Simplify right side
    766.38x = 349,191.62
  5. Step 5: Solve for x
    x = 349,191.62/766.38
  6. Step 6: Final answer
    x = 455.64

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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.