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Finding the Fourth Proportional to 1,012.28, 1,518.89 and 395.82

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Solution

The fourth proportional to 1,012.28, 1,518.89 and 395.82 is: 593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.28 : 1,518.89 = 395.82 : x
  2. Step 2: Convert to fraction form
    1,012.28/1,518.89 = 395.82/x
  3. Step 3: Cross multiply
    1,012.28x = 1,518.89 × 395.82
  4. Step 4: Simplify right side
    1,012.28x = 601,205.06
  5. Step 5: Solve for x
    x = 601,205.06/1,012.28
  6. Step 6: Final answer
    x = 593.91

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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.