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Finding the Fourth Proportional to 1,016.65, 1,524.79 and 286.05

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Solution

The fourth proportional to 1,016.65, 1,524.79 and 286.05 is: 429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.65 : 1,524.79 = 286.05 : x
  2. Step 2: Convert to fraction form
    1,016.65/1,524.79 = 286.05/x
  3. Step 3: Cross multiply
    1,016.65x = 1,524.79 × 286.05
  4. Step 4: Simplify right side
    1,016.65x = 436,162.37
  5. Step 5: Solve for x
    x = 436,162.37/1,016.65
  6. Step 6: Final answer
    x = 429.02

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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.