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Finding the Fourth Proportional to 1,016.26, 1,524.94 and 439

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Solution

The fourth proportional to 1,016.26, 1,524.94 and 439 is: 658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.26 : 1,524.94 = 439 : x
  2. Step 2: Convert to fraction form
    1,016.26/1,524.94 = 439/x
  3. Step 3: Cross multiply
    1,016.26x = 1,524.94 × 439
  4. Step 4: Simplify right side
    1,016.26x = 669,448.66
  5. Step 5: Solve for x
    x = 669,448.66/1,016.26
  6. Step 6: Final answer
    x = 658.74

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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.