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Finding the Fourth Proportional to 1,738.53, 2,607.80 and 439.97

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Solution

The fourth proportional to 1,738.53, 2,607.80 and 439.97 is: 659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.53 : 2,607.80 = 439.97 : x
  2. Step 2: Convert to fraction form
    1,738.53/2,607.80 = 439.97/x
  3. Step 3: Cross multiply
    1,738.53x = 2,607.80 × 439.97
  4. Step 4: Simplify right side
    1,738.53x = 1,147,338.53
  5. Step 5: Solve for x
    x = 1,147,338.53/1,738.53
  6. Step 6: Final answer
    x = 659.95

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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.