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Finding the Fourth Proportional to 855.76, 1,180.80 and 506.32

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Solution

The fourth proportional to 855.76, 1,180.80 and 506.32 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.76 : 1,180.80 = 506.32 : x
  2. Step 2: Convert to fraction form
    855.76/1,180.80 = 506.32/x
  3. Step 3: Cross multiply
    855.76x = 1,180.80 × 506.32
  4. Step 4: Simplify right side
    855.76x = 597,862.66
  5. Step 5: Solve for x
    x = 597,862.66/855.76
  6. Step 6: Final answer
    x = 698.63

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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.