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Finding the Fourth Proportional to 791.76, 1,187.16 and 406.98

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Solution

The fourth proportional to 791.76, 1,187.16 and 406.98 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.76 : 1,187.16 = 406.98 : x
  2. Step 2: Convert to fraction form
    791.76/1,187.16 = 406.98/x
  3. Step 3: Cross multiply
    791.76x = 1,187.16 × 406.98
  4. Step 4: Simplify right side
    791.76x = 483,150.38
  5. Step 5: Solve for x
    x = 483,150.38/791.76
  6. Step 6: Final answer
    x = 610.22

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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.