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Finding the Fourth Proportional to 682.30, 1,024.25 and 451.64

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Solution

The fourth proportional to 682.30, 1,024.25 and 451.64 is: 677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.30 : 1,024.25 = 451.64 : x
  2. Step 2: Convert to fraction form
    682.30/1,024.25 = 451.64/x
  3. Step 3: Cross multiply
    682.30x = 1,024.25 × 451.64
  4. Step 4: Simplify right side
    682.30x = 462,588.25
  5. Step 5: Solve for x
    x = 462,588.25/682.30
  6. Step 6: Final answer
    x = 677.99

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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.