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Finding the Fourth Proportional to 997.96, 1,376.94 and 583.96

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Solution

The fourth proportional to 997.96, 1,376.94 and 583.96 is: 805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.96 : 1,376.94 = 583.96 : x
  2. Step 2: Convert to fraction form
    997.96/1,376.94 = 583.96/x
  3. Step 3: Cross multiply
    997.96x = 1,376.94 × 583.96
  4. Step 4: Simplify right side
    997.96x = 804,077.88
  5. Step 5: Solve for x
    x = 804,077.88/997.96
  6. Step 6: Final answer
    x = 805.72

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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.