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Finding the Fourth Proportional to 791.05, 1,186.85 and 498.21

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Solution

The fourth proportional to 791.05, 1,186.85 and 498.21 is: 747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.05 : 1,186.85 = 498.21 : x
  2. Step 2: Convert to fraction form
    791.05/1,186.85 = 498.21/x
  3. Step 3: Cross multiply
    791.05x = 1,186.85 × 498.21
  4. Step 4: Simplify right side
    791.05x = 591,300.54
  5. Step 5: Solve for x
    x = 591,300.54/791.05
  6. Step 6: Final answer
    x = 747.49

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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.