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Finding the Fourth Proportional to 997.66, 1,376.39 and 624.49

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Solution

The fourth proportional to 997.66, 1,376.39 and 624.49 is: 861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.66 : 1,376.39 = 624.49 : x
  2. Step 2: Convert to fraction form
    997.66/1,376.39 = 624.49/x
  3. Step 3: Cross multiply
    997.66x = 1,376.39 × 624.49
  4. Step 4: Simplify right side
    997.66x = 859,541.79
  5. Step 5: Solve for x
    x = 859,541.79/997.66
  6. Step 6: Final answer
    x = 861.56

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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.