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Finding the Fourth Proportional to 744.09, 1,027.29 and 495.78

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Solution

The fourth proportional to 744.09, 1,027.29 and 495.78 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.09 : 1,027.29 = 495.78 : x
  2. Step 2: Convert to fraction form
    744.09/1,027.29 = 495.78/x
  3. Step 3: Cross multiply
    744.09x = 1,027.29 × 495.78
  4. Step 4: Simplify right side
    744.09x = 509,309.84
  5. Step 5: Solve for x
    x = 509,309.84/744.09
  6. Step 6: Final answer
    x = 684.47

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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.