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Finding the Fourth Proportional to 684.94, 1,022.43 and 634.18

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Solution

The fourth proportional to 684.94, 1,022.43 and 634.18 is: 946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 1,022.43 = 634.18 : x
  2. Step 2: Convert to fraction form
    684.94/1,022.43 = 634.18/x
  3. Step 3: Cross multiply
    684.94x = 1,022.43 × 634.18
  4. Step 4: Simplify right side
    684.94x = 648,404.66
  5. Step 5: Solve for x
    x = 648,404.66/684.94
  6. Step 6: Final answer
    x = 946.66

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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.