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Finding the Fourth Proportional to 791.68, 1,093.04 and 497.28

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Solution

The fourth proportional to 791.68, 1,093.04 and 497.28 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.68 : 1,093.04 = 497.28 : x
  2. Step 2: Convert to fraction form
    791.68/1,093.04 = 497.28/x
  3. Step 3: Cross multiply
    791.68x = 1,093.04 × 497.28
  4. Step 4: Simplify right side
    791.68x = 543,546.93
  5. Step 5: Solve for x
    x = 543,546.93/791.68
  6. Step 6: Final answer
    x = 686.57

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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.