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Finding the Fourth Proportional to 1,016.20, 1,523.79 and 496.24

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Solution

The fourth proportional to 1,016.20, 1,523.79 and 496.24 is: 744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.20 : 1,523.79 = 496.24 : x
  2. Step 2: Convert to fraction form
    1,016.20/1,523.79 = 496.24/x
  3. Step 3: Cross multiply
    1,016.20x = 1,523.79 × 496.24
  4. Step 4: Simplify right side
    1,016.20x = 756,165.55
  5. Step 5: Solve for x
    x = 756,165.55/1,016.20
  6. Step 6: Final answer
    x = 744.11

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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.