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Finding the Fourth Proportional to 660.41, 905.43 and 648.71

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Solution

The fourth proportional to 660.41, 905.43 and 648.71 is: 889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.41 : 905.43 = 648.71 : x
  2. Step 2: Convert to fraction form
    660.41/905.43 = 648.71/x
  3. Step 3: Cross multiply
    660.41x = 905.43 × 648.71
  4. Step 4: Simplify right side
    660.41x = 587,361.50
  5. Step 5: Solve for x
    x = 587,361.50/660.41
  6. Step 6: Final answer
    x = 889.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.