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Finding the Fourth Proportional to 739.26, 1,108.79 and 405.81

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Solution

The fourth proportional to 739.26, 1,108.79 and 405.81 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.26 : 1,108.79 = 405.81 : x
  2. Step 2: Convert to fraction form
    739.26/1,108.79 = 405.81/x
  3. Step 3: Cross multiply
    739.26x = 1,108.79 × 405.81
  4. Step 4: Simplify right side
    739.26x = 449,956.04
  5. Step 5: Solve for x
    x = 449,956.04/739.26
  6. Step 6: Final answer
    x = 608.66

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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.