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Finding the Fourth Proportional to 1,738.91, 2,607.80 and 505.97

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Solution

The fourth proportional to 1,738.91, 2,607.80 and 505.97 is: 758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.91 : 2,607.80 = 505.97 : x
  2. Step 2: Convert to fraction form
    1,738.91/2,607.80 = 505.97/x
  3. Step 3: Cross multiply
    1,738.91x = 2,607.80 × 505.97
  4. Step 4: Simplify right side
    1,738.91x = 1,319,453.00
  5. Step 5: Solve for x
    x = 1,319,453.00/1,738.91
  6. Step 6: Final answer
    x = 758.78

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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.