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Finding the Fourth Proportional to 1,016.26, 1,524.48 and 285.83

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Solution

The fourth proportional to 1,016.26, 1,524.48 and 285.83 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.26 : 1,524.48 = 285.83 : x
  2. Step 2: Convert to fraction form
    1,016.26/1,524.48 = 285.83/x
  3. Step 3: Cross multiply
    1,016.26x = 1,524.48 × 285.83
  4. Step 4: Simplify right side
    1,016.26x = 435,745.93
  5. Step 5: Solve for x
    x = 435,745.93/1,016.26
  6. Step 6: Final answer
    x = 428.78

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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.