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Finding the Fourth Proportional to 682.14, 1,023.12 and 646.56

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Solution

The fourth proportional to 682.14, 1,023.12 and 646.56 is: 969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 1,023.12 = 646.56 : x
  2. Step 2: Convert to fraction form
    682.14/1,023.12 = 646.56/x
  3. Step 3: Cross multiply
    682.14x = 1,023.12 × 646.56
  4. Step 4: Simplify right side
    682.14x = 661,508.47
  5. Step 5: Solve for x
    x = 661,508.47/682.14
  6. Step 6: Final answer
    x = 969.75

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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.