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Finding the Fourth Proportional to 853.98, 1,286.08 and 752.37

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Solution

The fourth proportional to 853.98, 1,286.08 and 752.37 is: 1,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.98 : 1,286.08 = 752.37 : x
  2. Step 2: Convert to fraction form
    853.98/1,286.08 = 752.37/x
  3. Step 3: Cross multiply
    853.98x = 1,286.08 × 752.37
  4. Step 4: Simplify right side
    853.98x = 967,608.01
  5. Step 5: Solve for x
    x = 967,608.01/853.98
  6. Step 6: Final answer
    x = 1,133.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.