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Finding the Fourth Proportional to 997.06, 1,376 and 624.24

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Solution

The fourth proportional to 997.06, 1,376 and 624.24 is: 861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.06 : 1,376 = 624.24 : x
  2. Step 2: Convert to fraction form
    997.06/1,376 = 624.24/x
  3. Step 3: Cross multiply
    997.06x = 1,376 × 624.24
  4. Step 4: Simplify right side
    997.06x = 858,954.24
  5. Step 5: Solve for x
    x = 858,954.24/997.06
  6. Step 6: Final answer
    x = 861.49

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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.