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Finding the Fourth Proportional to 1,524.36, 2,286.56 and 550.56

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Solution

The fourth proportional to 1,524.36, 2,286.56 and 550.56 is: 825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.36 : 2,286.56 = 550.56 : x
  2. Step 2: Convert to fraction form
    1,524.36/2,286.56 = 550.56/x
  3. Step 3: Cross multiply
    1,524.36x = 2,286.56 × 550.56
  4. Step 4: Simplify right side
    1,524.36x = 1,258,888.47
  5. Step 5: Solve for x
    x = 1,258,888.47/1,524.36
  6. Step 6: Final answer
    x = 825.85

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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.