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Finding the Fourth Proportional to 1,143.82, 1,578.46 and 619.85

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Solution

The fourth proportional to 1,143.82, 1,578.46 and 619.85 is: 855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.82 : 1,578.46 = 619.85 : x
  2. Step 2: Convert to fraction form
    1,143.82/1,578.46 = 619.85/x
  3. Step 3: Cross multiply
    1,143.82x = 1,578.46 × 619.85
  4. Step 4: Simplify right side
    1,143.82x = 978,408.43
  5. Step 5: Solve for x
    x = 978,408.43/1,143.82
  6. Step 6: Final answer
    x = 855.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.