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Finding the Fourth Proportional to 766.62, 1,149.12 and 441.30

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Solution

The fourth proportional to 766.62, 1,149.12 and 441.30 is: 661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.62 : 1,149.12 = 441.30 : x
  2. Step 2: Convert to fraction form
    766.62/1,149.12 = 441.30/x
  3. Step 3: Cross multiply
    766.62x = 1,149.12 × 441.30
  4. Step 4: Simplify right side
    766.62x = 507,106.66
  5. Step 5: Solve for x
    x = 507,106.66/766.62
  6. Step 6: Final answer
    x = 661.48

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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.