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Finding the Fourth Proportional to 1,731.49, 2,596.72 and 620.73

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Solution

The fourth proportional to 1,731.49, 2,596.72 and 620.73 is: 930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.49 : 2,596.72 = 620.73 : x
  2. Step 2: Convert to fraction form
    1,731.49/2,596.72 = 620.73/x
  3. Step 3: Cross multiply
    1,731.49x = 2,596.72 × 620.73
  4. Step 4: Simplify right side
    1,731.49x = 1,611,867.97
  5. Step 5: Solve for x
    x = 1,611,867.97/1,731.49
  6. Step 6: Final answer
    x = 930.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.