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Finding the Fourth Proportional to 1,016.42, 1,524.63 and 246.92

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Solution

The fourth proportional to 1,016.42, 1,524.63 and 246.92 is: 370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.42 : 1,524.63 = 246.92 : x
  2. Step 2: Convert to fraction form
    1,016.42/1,524.63 = 246.92/x
  3. Step 3: Cross multiply
    1,016.42x = 1,524.63 × 246.92
  4. Step 4: Simplify right side
    1,016.42x = 376,462.59
  5. Step 5: Solve for x
    x = 376,462.59/1,016.42
  6. Step 6: Final answer
    x = 370.38

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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.