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Finding the Fourth Proportional to 855.09, 1,179.63 and 523.53

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Solution

The fourth proportional to 855.09, 1,179.63 and 523.53 is: 722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,179.63 = 523.53 : x
  2. Step 2: Convert to fraction form
    855.09/1,179.63 = 523.53/x
  3. Step 3: Cross multiply
    855.09x = 1,179.63 × 523.53
  4. Step 4: Simplify right side
    855.09x = 617,571.69
  5. Step 5: Solve for x
    x = 617,571.69/855.09
  6. Step 6: Final answer
    x = 722.23

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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.