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Finding the Fourth Proportional to 997.84, 1,377.12 and 604.90

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Solution

The fourth proportional to 997.84, 1,377.12 and 604.90 is: 834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.84 : 1,377.12 = 604.90 : x
  2. Step 2: Convert to fraction form
    997.84/1,377.12 = 604.90/x
  3. Step 3: Cross multiply
    997.84x = 1,377.12 × 604.90
  4. Step 4: Simplify right side
    997.84x = 833,019.89
  5. Step 5: Solve for x
    x = 833,019.89/997.84
  6. Step 6: Final answer
    x = 834.82

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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.