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Finding the Fourth Proportional to 855.80, 1,180.92 and 506.42

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Solution

The fourth proportional to 855.80, 1,180.92 and 506.42 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.80 : 1,180.92 = 506.42 : x
  2. Step 2: Convert to fraction form
    855.80/1,180.92 = 506.42/x
  3. Step 3: Cross multiply
    855.80x = 1,180.92 × 506.42
  4. Step 4: Simplify right side
    855.80x = 598,041.51
  5. Step 5: Solve for x
    x = 598,041.51/855.80
  6. Step 6: Final answer
    x = 698.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.