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Finding the Fourth Proportional to 674.22, 1,012.95 and 634.26

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Solution

The fourth proportional to 674.22, 1,012.95 and 634.26 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.22 : 1,012.95 = 634.26 : x
  2. Step 2: Convert to fraction form
    674.22/1,012.95 = 634.26/x
  3. Step 3: Cross multiply
    674.22x = 1,012.95 × 634.26
  4. Step 4: Simplify right side
    674.22x = 642,473.67
  5. Step 5: Solve for x
    x = 642,473.67/674.22
  6. Step 6: Final answer
    x = 952.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.