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Finding the Fourth Proportional to 682.02, 1,023.54 and 450.82

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Solution

The fourth proportional to 682.02, 1,023.54 and 450.82 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 1,023.54 = 450.82 : x
  2. Step 2: Convert to fraction form
    682.02/1,023.54 = 450.82/x
  3. Step 3: Cross multiply
    682.02x = 1,023.54 × 450.82
  4. Step 4: Simplify right side
    682.02x = 461,432.30
  5. Step 5: Solve for x
    x = 461,432.30/682.02
  6. Step 6: Final answer
    x = 676.57

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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.