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Finding the Fourth Proportional to 855.41, 1,283.09 and 465.57

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Solution

The fourth proportional to 855.41, 1,283.09 and 465.57 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.41 : 1,283.09 = 465.57 : x
  2. Step 2: Convert to fraction form
    855.41/1,283.09 = 465.57/x
  3. Step 3: Cross multiply
    855.41x = 1,283.09 × 465.57
  4. Step 4: Simplify right side
    855.41x = 597,365.88
  5. Step 5: Solve for x
    x = 597,365.88/855.41
  6. Step 6: Final answer
    x = 698.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.