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Finding the Fourth Proportional to 1,016.45, 1,524.17 and 496.49

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Solution

The fourth proportional to 1,016.45, 1,524.17 and 496.49 is: 744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.45 : 1,524.17 = 496.49 : x
  2. Step 2: Convert to fraction form
    1,016.45/1,524.17 = 496.49/x
  3. Step 3: Cross multiply
    1,016.45x = 1,524.17 × 496.49
  4. Step 4: Simplify right side
    1,016.45x = 756,732.68
  5. Step 5: Solve for x
    x = 756,732.68/1,016.45
  6. Step 6: Final answer
    x = 744.49

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Double scale
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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.