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Finding the Fourth Proportional to 739.83, 1,109.19 and 374.87

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Solution

The fourth proportional to 739.83, 1,109.19 and 374.87 is: 562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.83 : 1,109.19 = 374.87 : x
  2. Step 2: Convert to fraction form
    739.83/1,109.19 = 374.87/x
  3. Step 3: Cross multiply
    739.83x = 1,109.19 × 374.87
  4. Step 4: Simplify right side
    739.83x = 415,796.51
  5. Step 5: Solve for x
    x = 415,796.51/739.83
  6. Step 6: Final answer
    x = 562.02

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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.