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Finding the Fourth Proportional to 744.26, 1,027.08 and 408.16

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Solution

The fourth proportional to 744.26, 1,027.08 and 408.16 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.26 : 1,027.08 = 408.16 : x
  2. Step 2: Convert to fraction form
    744.26/1,027.08 = 408.16/x
  3. Step 3: Cross multiply
    744.26x = 1,027.08 × 408.16
  4. Step 4: Simplify right side
    744.26x = 419,208.48
  5. Step 5: Solve for x
    x = 419,208.48/744.26
  6. Step 6: Final answer
    x = 563.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.