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Finding the Fourth Proportional to 1,016.23, 1,524.39 and 366.79

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Solution

The fourth proportional to 1,016.23, 1,524.39 and 366.79 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.23 : 1,524.39 = 366.79 : x
  2. Step 2: Convert to fraction form
    1,016.23/1,524.39 = 366.79/x
  3. Step 3: Cross multiply
    1,016.23x = 1,524.39 × 366.79
  4. Step 4: Simplify right side
    1,016.23x = 559,131.01
  5. Step 5: Solve for x
    x = 559,131.01/1,016.23
  6. Step 6: Final answer
    x = 550.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.