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Finding the Fourth Proportional to 682.62, 941.79 and 533.78

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Solution

The fourth proportional to 682.62, 941.79 and 533.78 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.62 : 941.79 = 533.78 : x
  2. Step 2: Convert to fraction form
    682.62/941.79 = 533.78/x
  3. Step 3: Cross multiply
    682.62x = 941.79 × 533.78
  4. Step 4: Simplify right side
    682.62x = 502,708.67
  5. Step 5: Solve for x
    x = 502,708.67/682.62
  6. Step 6: Final answer
    x = 736.44

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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.