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Finding the Fourth Proportional to 997.91, 1,377.14 and 604.70

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Solution

The fourth proportional to 997.91, 1,377.14 and 604.70 is: 834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.91 : 1,377.14 = 604.70 : x
  2. Step 2: Convert to fraction form
    997.91/1,377.14 = 604.70/x
  3. Step 3: Cross multiply
    997.91x = 1,377.14 × 604.70
  4. Step 4: Simplify right side
    997.91x = 832,756.56
  5. Step 5: Solve for x
    x = 832,756.56/997.91
  6. Step 6: Final answer
    x = 834.50

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Why These Related Problems?

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