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Finding the Fourth Proportional to 791.86, 1,187.37 and 462.91

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Solution

The fourth proportional to 791.86, 1,187.37 and 462.91 is: 694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.86 : 1,187.37 = 462.91 : x
  2. Step 2: Convert to fraction form
    791.86/1,187.37 = 462.91/x
  3. Step 3: Cross multiply
    791.86x = 1,187.37 × 462.91
  4. Step 4: Simplify right side
    791.86x = 549,642.48
  5. Step 5: Solve for x
    x = 549,642.48/791.86
  6. Step 6: Final answer
    x = 694.12

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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.