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Finding the Fourth Proportional to 1,016.38, 1,524.59 and 439.25

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Solution

The fourth proportional to 1,016.38, 1,524.59 and 439.25 is: 658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.38 : 1,524.59 = 439.25 : x
  2. Step 2: Convert to fraction form
    1,016.38/1,524.59 = 439.25/x
  3. Step 3: Cross multiply
    1,016.38x = 1,524.59 × 439.25
  4. Step 4: Simplify right side
    1,016.38x = 669,673.96
  5. Step 5: Solve for x
    x = 669,673.96/1,016.38
  6. Step 6: Final answer
    x = 658.88

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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.