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Finding the Fourth Proportional to 1,143.69, 1,578.45 and 1,073.32

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Solution

The fourth proportional to 1,143.69, 1,578.45 and 1,073.32 is: 1,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.69 : 1,578.45 = 1,073.32 : x
  2. Step 2: Convert to fraction form
    1,143.69/1,578.45 = 1,073.32/x
  3. Step 3: Cross multiply
    1,143.69x = 1,578.45 × 1,073.32
  4. Step 4: Simplify right side
    1,143.69x = 1,694,182.03
  5. Step 5: Solve for x
    x = 1,694,182.03/1,143.69
  6. Step 6: Final answer
    x = 1,481.33

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