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Finding the Fourth Proportional to 791.69, 1,092.93 and 497.25

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Solution

The fourth proportional to 791.69, 1,092.93 and 497.25 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.69 : 1,092.93 = 497.25 : x
  2. Step 2: Convert to fraction form
    791.69/1,092.93 = 497.25/x
  3. Step 3: Cross multiply
    791.69x = 1,092.93 × 497.25
  4. Step 4: Simplify right side
    791.69x = 543,459.44
  5. Step 5: Solve for x
    x = 543,459.44/791.69
  6. Step 6: Final answer
    x = 686.45

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Double scale
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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.