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Finding the Fourth Proportional to 682.47, 1,021.96 and 450.66

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Solution

The fourth proportional to 682.47, 1,021.96 and 450.66 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.47 : 1,021.96 = 450.66 : x
  2. Step 2: Convert to fraction form
    682.47/1,021.96 = 450.66/x
  3. Step 3: Cross multiply
    682.47x = 1,021.96 × 450.66
  4. Step 4: Simplify right side
    682.47x = 460,556.49
  5. Step 5: Solve for x
    x = 460,556.49/682.47
  6. Step 6: Final answer
    x = 674.84

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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.