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Finding the Fourth Proportional to 843.82, 1,164.75 and 494.50

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Solution

The fourth proportional to 843.82, 1,164.75 and 494.50 is: 682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.82 : 1,164.75 = 494.50 : x
  2. Step 2: Convert to fraction form
    843.82/1,164.75 = 494.50/x
  3. Step 3: Cross multiply
    843.82x = 1,164.75 × 494.50
  4. Step 4: Simplify right side
    843.82x = 575,968.88
  5. Step 5: Solve for x
    x = 575,968.88/843.82
  6. Step 6: Final answer
    x = 682.57

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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.