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Finding the Fourth Proportional to 843.78, 1,164.50 and 494.47

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Solution

The fourth proportional to 843.78, 1,164.50 and 494.47 is: 682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.78 : 1,164.50 = 494.47 : x
  2. Step 2: Convert to fraction form
    843.78/1,164.50 = 494.47/x
  3. Step 3: Cross multiply
    843.78x = 1,164.50 × 494.47
  4. Step 4: Simplify right side
    843.78x = 575,810.32
  5. Step 5: Solve for x
    x = 575,810.32/843.78
  6. Step 6: Final answer
    x = 682.42

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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.