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Finding the Fourth Proportional to 997.24, 1,376.24 and 604.30

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Solution

The fourth proportional to 997.24, 1,376.24 and 604.30 is: 833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.24 : 1,376.24 = 604.30 : x
  2. Step 2: Convert to fraction form
    997.24/1,376.24 = 604.30/x
  3. Step 3: Cross multiply
    997.24x = 1,376.24 × 604.30
  4. Step 4: Simplify right side
    997.24x = 831,661.83
  5. Step 5: Solve for x
    x = 831,661.83/997.24
  6. Step 6: Final answer
    x = 833.96

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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.