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Finding the Fourth Proportional to 1,016.18, 1,524.26 and 246.68

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Solution

The fourth proportional to 1,016.18, 1,524.26 and 246.68 is: 370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.18 : 1,524.26 = 246.68 : x
  2. Step 2: Convert to fraction form
    1,016.18/1,524.26 = 246.68/x
  3. Step 3: Cross multiply
    1,016.18x = 1,524.26 × 246.68
  4. Step 4: Simplify right side
    1,016.18x = 375,996.84
  5. Step 5: Solve for x
    x = 375,996.84/1,016.18
  6. Step 6: Final answer
    x = 370.01

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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.