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Finding the Fourth Proportional to 680.37, 1,021.38 and 527.28

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Solution

The fourth proportional to 680.37, 1,021.38 and 527.28 is: 791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.37 : 1,021.38 = 527.28 : x
  2. Step 2: Convert to fraction form
    680.37/1,021.38 = 527.28/x
  3. Step 3: Cross multiply
    680.37x = 1,021.38 × 527.28
  4. Step 4: Simplify right side
    680.37x = 538,553.25
  5. Step 5: Solve for x
    x = 538,553.25/680.37
  6. Step 6: Final answer
    x = 791.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.