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Finding the Fourth Proportional to 855.16, 1,274.03 and 825.80

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Solution

The fourth proportional to 855.16, 1,274.03 and 825.80 is: 1,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,274.03 = 825.80 : x
  2. Step 2: Convert to fraction form
    855.16/1,274.03 = 825.80/x
  3. Step 3: Cross multiply
    855.16x = 1,274.03 × 825.80
  4. Step 4: Simplify right side
    855.16x = 1,052,086.57
  5. Step 5: Solve for x
    x = 1,052,086.57/855.16
  6. Step 6: Final answer
    x = 1,230.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.