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Finding the Fourth Proportional to 1,012.69, 1,519.13 and 396.44

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Solution

The fourth proportional to 1,012.69, 1,519.13 and 396.44 is: 594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.69 : 1,519.13 = 396.44 : x
  2. Step 2: Convert to fraction form
    1,012.69/1,519.13 = 396.44/x
  3. Step 3: Cross multiply
    1,012.69x = 1,519.13 × 396.44
  4. Step 4: Simplify right side
    1,012.69x = 602,243.90
  5. Step 5: Solve for x
    x = 602,243.90/1,012.69
  6. Step 6: Final answer
    x = 594.70

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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.