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Finding the Fourth Proportional to 791.56, 1,186.26 and 498.34

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Solution

The fourth proportional to 791.56, 1,186.26 and 498.34 is: 746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.56 : 1,186.26 = 498.34 : x
  2. Step 2: Convert to fraction form
    791.56/1,186.26 = 498.34/x
  3. Step 3: Cross multiply
    791.56x = 1,186.26 × 498.34
  4. Step 4: Simplify right side
    791.56x = 591,160.81
  5. Step 5: Solve for x
    x = 591,160.81/791.56
  6. Step 6: Final answer
    x = 746.83

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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.