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Finding the Fourth Proportional to 684.15, 1,020.20 and 677.97

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Solution

The fourth proportional to 684.15, 1,020.20 and 677.97 is: 1,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 1,020.20 = 677.97 : x
  2. Step 2: Convert to fraction form
    684.15/1,020.20 = 677.97/x
  3. Step 3: Cross multiply
    684.15x = 1,020.20 × 677.97
  4. Step 4: Simplify right side
    684.15x = 691,664.99
  5. Step 5: Solve for x
    x = 691,664.99/684.15
  6. Step 6: Final answer
    x = 1,010.98

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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.