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Finding the Fourth Proportional to 855.38, 1,180.49 and 506.13

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Solution

The fourth proportional to 855.38, 1,180.49 and 506.13 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,180.49 = 506.13 : x
  2. Step 2: Convert to fraction form
    855.38/1,180.49 = 506.13/x
  3. Step 3: Cross multiply
    855.38x = 1,180.49 × 506.13
  4. Step 4: Simplify right side
    855.38x = 597,478.87
  5. Step 5: Solve for x
    x = 597,478.87/855.38
  6. Step 6: Final answer
    x = 698.50

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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.