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Finding the Fourth Proportional to 739.95, 1,109.07 and 349.47

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Solution

The fourth proportional to 739.95, 1,109.07 and 349.47 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.95 : 1,109.07 = 349.47 : x
  2. Step 2: Convert to fraction form
    739.95/1,109.07 = 349.47/x
  3. Step 3: Cross multiply
    739.95x = 1,109.07 × 349.47
  4. Step 4: Simplify right side
    739.95x = 387,586.69
  5. Step 5: Solve for x
    x = 387,586.69/739.95
  6. Step 6: Final answer
    x = 523.80

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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.