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Finding the Fourth Proportional to 843.22, 1,163.47 and 493.84

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Solution

The fourth proportional to 843.22, 1,163.47 and 493.84 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.22 : 1,163.47 = 493.84 : x
  2. Step 2: Convert to fraction form
    843.22/1,163.47 = 493.84/x
  3. Step 3: Cross multiply
    843.22x = 1,163.47 × 493.84
  4. Step 4: Simplify right side
    843.22x = 574,559.74
  5. Step 5: Solve for x
    x = 574,559.74/843.22
  6. Step 6: Final answer
    x = 681.39

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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.