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Finding the Fourth Proportional to 1,524.53, 2,286.32 and 550.51

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Solution

The fourth proportional to 1,524.53, 2,286.32 and 550.51 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.53 : 2,286.32 = 550.51 : x
  2. Step 2: Convert to fraction form
    1,524.53/2,286.32 = 550.51/x
  3. Step 3: Cross multiply
    1,524.53x = 2,286.32 × 550.51
  4. Step 4: Simplify right side
    1,524.53x = 1,258,630.59
  5. Step 5: Solve for x
    x = 1,258,630.59/1,524.53
  6. Step 6: Final answer
    x = 825.59

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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.