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Finding the Fourth Proportional to 791.04, 1,186.16 and 462.09

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Solution

The fourth proportional to 791.04, 1,186.16 and 462.09 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.04 : 1,186.16 = 462.09 : x
  2. Step 2: Convert to fraction form
    791.04/1,186.16 = 462.09/x
  3. Step 3: Cross multiply
    791.04x = 1,186.16 × 462.09
  4. Step 4: Simplify right side
    791.04x = 548,110.36
  5. Step 5: Solve for x
    x = 548,110.36/791.04
  6. Step 6: Final answer
    x = 692.90

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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.