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Finding the Fourth Proportional to 739.69, 1,109.42 and 464.94

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Solution

The fourth proportional to 739.69, 1,109.42 and 464.94 is: 697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.69 : 1,109.42 = 464.94 : x
  2. Step 2: Convert to fraction form
    739.69/1,109.42 = 464.94/x
  3. Step 3: Cross multiply
    739.69x = 1,109.42 × 464.94
  4. Step 4: Simplify right side
    739.69x = 515,817.67
  5. Step 5: Solve for x
    x = 515,817.67/739.69
  6. Step 6: Final answer
    x = 697.34

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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.