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Finding the Fourth Proportional to 1,012.87, 1,519.41 and 465.21

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Solution

The fourth proportional to 1,012.87, 1,519.41 and 465.21 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.87 : 1,519.41 = 465.21 : x
  2. Step 2: Convert to fraction form
    1,012.87/1,519.41 = 465.21/x
  3. Step 3: Cross multiply
    1,012.87x = 1,519.41 × 465.21
  4. Step 4: Simplify right side
    1,012.87x = 706,843.85
  5. Step 5: Solve for x
    x = 706,843.85/1,012.87
  6. Step 6: Final answer
    x = 697.86

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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.