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Finding the Fourth Proportional to 1,016.24, 1,524.18 and 285.65

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Solution

The fourth proportional to 1,016.24, 1,524.18 and 285.65 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.24 : 1,524.18 = 285.65 : x
  2. Step 2: Convert to fraction form
    1,016.24/1,524.18 = 285.65/x
  3. Step 3: Cross multiply
    1,016.24x = 1,524.18 × 285.65
  4. Step 4: Simplify right side
    1,016.24x = 435,382.02
  5. Step 5: Solve for x
    x = 435,382.02/1,016.24
  6. Step 6: Final answer
    x = 428.42

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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.