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Finding the Fourth Proportional to 707.70, 974.97 and 674.90

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Solution

The fourth proportional to 707.70, 974.97 and 674.90 is: 929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.70 : 974.97 = 674.90 : x
  2. Step 2: Convert to fraction form
    707.70/974.97 = 674.90/x
  3. Step 3: Cross multiply
    707.70x = 974.97 × 674.90
  4. Step 4: Simplify right side
    707.70x = 658,006.03
  5. Step 5: Solve for x
    x = 658,006.03/707.70
  6. Step 6: Final answer
    x = 929.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.