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Finding the Fourth Proportional to 739.82, 1,109.67 and 415.10

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Solution

The fourth proportional to 739.82, 1,109.67 and 415.10 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.82 : 1,109.67 = 415.10 : x
  2. Step 2: Convert to fraction form
    739.82/1,109.67 = 415.10/x
  3. Step 3: Cross multiply
    739.82x = 1,109.67 × 415.10
  4. Step 4: Simplify right side
    739.82x = 460,624.02
  5. Step 5: Solve for x
    x = 460,624.02/739.82
  6. Step 6: Final answer
    x = 622.62

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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.