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Finding the Fourth Proportional to 739.02, 1,109.34 and 414.48

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Solution

The fourth proportional to 739.02, 1,109.34 and 414.48 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,109.34 = 414.48 : x
  2. Step 2: Convert to fraction form
    739.02/1,109.34 = 414.48/x
  3. Step 3: Cross multiply
    739.02x = 1,109.34 × 414.48
  4. Step 4: Simplify right side
    739.02x = 459,799.24
  5. Step 5: Solve for x
    x = 459,799.24/739.02
  6. Step 6: Final answer
    x = 622.17

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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.