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Finding the Fourth Proportional to 739.25, 1,108.90 and 276.98

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Solution

The fourth proportional to 739.25, 1,108.90 and 276.98 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,108.90 = 276.98 : x
  2. Step 2: Convert to fraction form
    739.25/1,108.90 = 276.98/x
  3. Step 3: Cross multiply
    739.25x = 1,108.90 × 276.98
  4. Step 4: Simplify right side
    739.25x = 307,139.66
  5. Step 5: Solve for x
    x = 307,139.66/739.25
  6. Step 6: Final answer
    x = 415.48

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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.