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Finding the Fourth Proportional to 739.88, 1,109.10 and 414.54

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Solution

The fourth proportional to 739.88, 1,109.10 and 414.54 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.88 : 1,109.10 = 414.54 : x
  2. Step 2: Convert to fraction form
    739.88/1,109.10 = 414.54/x
  3. Step 3: Cross multiply
    739.88x = 1,109.10 × 414.54
  4. Step 4: Simplify right side
    739.88x = 459,766.31
  5. Step 5: Solve for x
    x = 459,766.31/739.88
  6. Step 6: Final answer
    x = 621.41

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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.