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Finding the Fourth Proportional to 791.72, 1,187.31 and 304.94

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Solution

The fourth proportional to 791.72, 1,187.31 and 304.94 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.72 : 1,187.31 = 304.94 : x
  2. Step 2: Convert to fraction form
    791.72/1,187.31 = 304.94/x
  3. Step 3: Cross multiply
    791.72x = 1,187.31 × 304.94
  4. Step 4: Simplify right side
    791.72x = 362,058.31
  5. Step 5: Solve for x
    x = 362,058.31/791.72
  6. Step 6: Final answer
    x = 457.31

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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.