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Finding the Fourth Proportional to 847.99, 1,272.10 and 796.73

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Solution

The fourth proportional to 847.99, 1,272.10 and 796.73 is: 1,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.99 : 1,272.10 = 796.73 : x
  2. Step 2: Convert to fraction form
    847.99/1,272.10 = 796.73/x
  3. Step 3: Cross multiply
    847.99x = 1,272.10 × 796.73
  4. Step 4: Simplify right side
    847.99x = 1,013,520.23
  5. Step 5: Solve for x
    x = 1,013,520.23/847.99
  6. Step 6: Final answer
    x = 1,195.20

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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.