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Finding the Fourth Proportional to 855.25, 1,180.26 and 506.02

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Solution

The fourth proportional to 855.25, 1,180.26 and 506.02 is: 698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.25 : 1,180.26 = 506.02 : x
  2. Step 2: Convert to fraction form
    855.25/1,180.26 = 506.02/x
  3. Step 3: Cross multiply
    855.25x = 1,180.26 × 506.02
  4. Step 4: Simplify right side
    855.25x = 597,235.17
  5. Step 5: Solve for x
    x = 597,235.17/855.25
  6. Step 6: Final answer
    x = 698.32

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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.