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Finding the Fourth Proportional to 1,016.33, 1,524.50 and 246.83

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Solution

The fourth proportional to 1,016.33, 1,524.50 and 246.83 is: 370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.33 : 1,524.50 = 246.83 : x
  2. Step 2: Convert to fraction form
    1,016.33/1,524.50 = 246.83/x
  3. Step 3: Cross multiply
    1,016.33x = 1,524.50 × 246.83
  4. Step 4: Simplify right side
    1,016.33x = 376,296.76
  5. Step 5: Solve for x
    x = 376,296.76/1,016.33
  6. Step 6: Final answer
    x = 370.25

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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.