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Finding the Fourth Proportional to 791.18, 1,186.20 and 482.96

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Solution

The fourth proportional to 791.18, 1,186.20 and 482.96 is: 724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.18 : 1,186.20 = 482.96 : x
  2. Step 2: Convert to fraction form
    791.18/1,186.20 = 482.96/x
  3. Step 3: Cross multiply
    791.18x = 1,186.20 × 482.96
  4. Step 4: Simplify right side
    791.18x = 572,887.15
  5. Step 5: Solve for x
    x = 572,887.15/791.18
  6. Step 6: Final answer
    x = 724.09

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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.