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Finding the Fourth Proportional to 791.25, 1,091.52 and 594.69

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Solution

The fourth proportional to 791.25, 1,091.52 and 594.69 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.25 : 1,091.52 = 594.69 : x
  2. Step 2: Convert to fraction form
    791.25/1,091.52 = 594.69/x
  3. Step 3: Cross multiply
    791.25x = 1,091.52 × 594.69
  4. Step 4: Simplify right side
    791.25x = 649,116.03
  5. Step 5: Solve for x
    x = 649,116.03/791.25
  6. Step 6: Final answer
    x = 820.37

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Half scale
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Double scale
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1.5x scale

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.