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Finding the Fourth Proportional to 997.32, 1,376.61 and 599.27

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Solution

The fourth proportional to 997.32, 1,376.61 and 599.27 is: 827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.32 : 1,376.61 = 599.27 : x
  2. Step 2: Convert to fraction form
    997.32/1,376.61 = 599.27/x
  3. Step 3: Cross multiply
    997.32x = 1,376.61 × 599.27
  4. Step 4: Simplify right side
    997.32x = 824,961.07
  5. Step 5: Solve for x
    x = 824,961.07/997.32
  6. Step 6: Final answer
    x = 827.18

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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.