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Finding the Fourth Proportional to 1,016.66, 1,524.30 and 367.31

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Solution

The fourth proportional to 1,016.66, 1,524.30 and 367.31 is: 550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.66 : 1,524.30 = 367.31 : x
  2. Step 2: Convert to fraction form
    1,016.66/1,524.30 = 367.31/x
  3. Step 3: Cross multiply
    1,016.66x = 1,524.30 × 367.31
  4. Step 4: Simplify right side
    1,016.66x = 559,883.01
  5. Step 5: Solve for x
    x = 559,883.01/1,016.66
  6. Step 6: Final answer
    x = 550.71

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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.