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Finding the Fourth Proportional to 791.69, 1,186.76 and 297.95

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Solution

The fourth proportional to 791.69, 1,186.76 and 297.95 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.69 : 1,186.76 = 297.95 : x
  2. Step 2: Convert to fraction form
    791.69/1,186.76 = 297.95/x
  3. Step 3: Cross multiply
    791.69x = 1,186.76 × 297.95
  4. Step 4: Simplify right side
    791.69x = 353,589.95
  5. Step 5: Solve for x
    x = 353,589.95/791.69
  6. Step 6: Final answer
    x = 446.63

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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.