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Finding the Fourth Proportional to 791.07, 1,186.60 and 328.92

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Solution

The fourth proportional to 791.07, 1,186.60 and 328.92 is: 493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.07 : 1,186.60 = 328.92 : x
  2. Step 2: Convert to fraction form
    791.07/1,186.60 = 328.92/x
  3. Step 3: Cross multiply
    791.07x = 1,186.60 × 328.92
  4. Step 4: Simplify right side
    791.07x = 390,296.47
  5. Step 5: Solve for x
    x = 390,296.47/791.07
  6. Step 6: Final answer
    x = 493.38

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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.