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Finding the Fourth Proportional to 739.61, 1,110.09 and 374.65

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Solution

The fourth proportional to 739.61, 1,110.09 and 374.65 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.61 : 1,110.09 = 374.65 : x
  2. Step 2: Convert to fraction form
    739.61/1,110.09 = 374.65/x
  3. Step 3: Cross multiply
    739.61x = 1,110.09 × 374.65
  4. Step 4: Simplify right side
    739.61x = 415,892.44
  5. Step 5: Solve for x
    x = 415,892.44/739.61
  6. Step 6: Final answer
    x = 562.32

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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.