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Finding the Fourth Proportional to 674.22, 1,004.70 and 668.54

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Solution

The fourth proportional to 674.22, 1,004.70 and 668.54 is: 996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.22 : 1,004.70 = 668.54 : x
  2. Step 2: Convert to fraction form
    674.22/1,004.70 = 668.54/x
  3. Step 3: Cross multiply
    674.22x = 1,004.70 × 668.54
  4. Step 4: Simplify right side
    674.22x = 671,682.14
  5. Step 5: Solve for x
    x = 671,682.14/674.22
  6. Step 6: Final answer
    x = 996.24

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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.