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Finding the Fourth Proportional to 855.38, 1,180.56 and 506.00

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Solution

The fourth proportional to 855.38, 1,180.56 and 506.00 is: 698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,180.56 = 506.00 : x
  2. Step 2: Convert to fraction form
    855.38/1,180.56 = 506.00/x
  3. Step 3: Cross multiply
    855.38x = 1,180.56 × 506.00
  4. Step 4: Simplify right side
    855.38x = 597,357.46
  5. Step 5: Solve for x
    x = 597,357.46/855.38
  6. Step 6: Final answer
    x = 698.36

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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.