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Finding the Fourth Proportional to 739.31, 1,108.94 and 414.59

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Solution

The fourth proportional to 739.31, 1,108.94 and 414.59 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.31 : 1,108.94 = 414.59 : x
  2. Step 2: Convert to fraction form
    739.31/1,108.94 = 414.59/x
  3. Step 3: Cross multiply
    739.31x = 1,108.94 × 414.59
  4. Step 4: Simplify right side
    739.31x = 459,747.82
  5. Step 5: Solve for x
    x = 459,747.82/739.31
  6. Step 6: Final answer
    x = 621.86

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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.