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Finding the Fourth Proportional to 744.69, 1,027.61 and 408.57

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Solution

The fourth proportional to 744.69, 1,027.61 and 408.57 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.69 : 1,027.61 = 408.57 : x
  2. Step 2: Convert to fraction form
    744.69/1,027.61 = 408.57/x
  3. Step 3: Cross multiply
    744.69x = 1,027.61 × 408.57
  4. Step 4: Simplify right side
    744.69x = 419,848.99
  5. Step 5: Solve for x
    x = 419,848.99/744.69
  6. Step 6: Final answer
    x = 563.79

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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.