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Finding the Fourth Proportional to 820.01, 1,227.45 and 791.48

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Solution

The fourth proportional to 820.01, 1,227.45 and 791.48 is: 1,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.01 : 1,227.45 = 791.48 : x
  2. Step 2: Convert to fraction form
    820.01/1,227.45 = 791.48/x
  3. Step 3: Cross multiply
    820.01x = 1,227.45 × 791.48
  4. Step 4: Simplify right side
    820.01x = 971,502.13
  5. Step 5: Solve for x
    x = 971,502.13/820.01
  6. Step 6: Final answer
    x = 1,184.74

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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.