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Finding the Fourth Proportional to 766.76, 1,150.26 and 420.44

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Solution

The fourth proportional to 766.76, 1,150.26 and 420.44 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.76 : 1,150.26 = 420.44 : x
  2. Step 2: Convert to fraction form
    766.76/1,150.26 = 420.44/x
  3. Step 3: Cross multiply
    766.76x = 1,150.26 × 420.44
  4. Step 4: Simplify right side
    766.76x = 483,615.31
  5. Step 5: Solve for x
    x = 483,615.31/766.76
  6. Step 6: Final answer
    x = 630.73

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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.