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Finding the Fourth Proportional to 791.78, 1,188.14 and 304.83

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Solution

The fourth proportional to 791.78, 1,188.14 and 304.83 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.78 : 1,188.14 = 304.83 : x
  2. Step 2: Convert to fraction form
    791.78/1,188.14 = 304.83/x
  3. Step 3: Cross multiply
    791.78x = 1,188.14 × 304.83
  4. Step 4: Simplify right side
    791.78x = 362,179.19
  5. Step 5: Solve for x
    x = 362,179.19/791.78
  6. Step 6: Final answer
    x = 457.43

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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.