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Finding the Fourth Proportional to 791.81, 1,093.08 and 497.24

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Solution

The fourth proportional to 791.81, 1,093.08 and 497.24 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.81 : 1,093.08 = 497.24 : x
  2. Step 2: Convert to fraction form
    791.81/1,093.08 = 497.24/x
  3. Step 3: Cross multiply
    791.81x = 1,093.08 × 497.24
  4. Step 4: Simplify right side
    791.81x = 543,523.10
  5. Step 5: Solve for x
    x = 543,523.10/791.81
  6. Step 6: Final answer
    x = 686.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.