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Finding the Fourth Proportional to 674.88, 1,007.94 and 637.44

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Solution

The fourth proportional to 674.88, 1,007.94 and 637.44 is: 952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.88 : 1,007.94 = 637.44 : x
  2. Step 2: Convert to fraction form
    674.88/1,007.94 = 637.44/x
  3. Step 3: Cross multiply
    674.88x = 1,007.94 × 637.44
  4. Step 4: Simplify right side
    674.88x = 642,501.27
  5. Step 5: Solve for x
    x = 642,501.27/674.88
  6. Step 6: Final answer
    x = 952.02

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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.