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Finding the Fourth Proportional to 684.20, 1,021.73 and 672.68

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Solution

The fourth proportional to 684.20, 1,021.73 and 672.68 is: 1,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 1,021.73 = 672.68 : x
  2. Step 2: Convert to fraction form
    684.20/1,021.73 = 672.68/x
  3. Step 3: Cross multiply
    684.20x = 1,021.73 × 672.68
  4. Step 4: Simplify right side
    684.20x = 687,297.34
  5. Step 5: Solve for x
    x = 687,297.34/684.20
  6. Step 6: Final answer
    x = 1,004.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.