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Finding the Fourth Proportional to 997.05, 1,376.13 and 682.95

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Solution

The fourth proportional to 997.05, 1,376.13 and 682.95 is: 942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,376.13 = 682.95 : x
  2. Step 2: Convert to fraction form
    997.05/1,376.13 = 682.95/x
  3. Step 3: Cross multiply
    997.05x = 1,376.13 × 682.95
  4. Step 4: Simplify right side
    997.05x = 939,827.98
  5. Step 5: Solve for x
    x = 939,827.98/997.05
  6. Step 6: Final answer
    x = 942.61

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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.