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Finding the Fourth Proportional to 855.46, 1,180.65 and 506.17

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Solution

The fourth proportional to 855.46, 1,180.65 and 506.17 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.46 : 1,180.65 = 506.17 : x
  2. Step 2: Convert to fraction form
    855.46/1,180.65 = 506.17/x
  3. Step 3: Cross multiply
    855.46x = 1,180.65 × 506.17
  4. Step 4: Simplify right side
    855.46x = 597,609.61
  5. Step 5: Solve for x
    x = 597,609.61/855.46
  6. Step 6: Final answer
    x = 698.58

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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.