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Finding the Fourth Proportional to 739.83, 1,109.40 and 219.64

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Solution

The fourth proportional to 739.83, 1,109.40 and 219.64 is: 329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.83 : 1,109.40 = 219.64 : x
  2. Step 2: Convert to fraction form
    739.83/1,109.40 = 219.64/x
  3. Step 3: Cross multiply
    739.83x = 1,109.40 × 219.64
  4. Step 4: Simplify right side
    739.83x = 243,668.62
  5. Step 5: Solve for x
    x = 243,668.62/739.83
  6. Step 6: Final answer
    x = 329.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.