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Finding the Fourth Proportional to 843.62, 1,164.69 and 533.54

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Solution

The fourth proportional to 843.62, 1,164.69 and 533.54 is: 736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.62 : 1,164.69 = 533.54 : x
  2. Step 2: Convert to fraction form
    843.62/1,164.69 = 533.54/x
  3. Step 3: Cross multiply
    843.62x = 1,164.69 × 533.54
  4. Step 4: Simplify right side
    843.62x = 621,408.70
  5. Step 5: Solve for x
    x = 621,408.70/843.62
  6. Step 6: Final answer
    x = 736.60

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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.