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Finding the Fourth Proportional to 791.94, 1,187.77 and 214.86

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Solution

The fourth proportional to 791.94, 1,187.77 and 214.86 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.94 : 1,187.77 = 214.86 : x
  2. Step 2: Convert to fraction form
    791.94/1,187.77 = 214.86/x
  3. Step 3: Cross multiply
    791.94x = 1,187.77 × 214.86
  4. Step 4: Simplify right side
    791.94x = 255,204.26
  5. Step 5: Solve for x
    x = 255,204.26/791.94
  6. Step 6: Final answer
    x = 322.25

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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.