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Finding the Fourth Proportional to 1,443.78, 1,992.43 and 780.64

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Solution

The fourth proportional to 1,443.78, 1,992.43 and 780.64 is: 1,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.78 : 1,992.43 = 780.64 : x
  2. Step 2: Convert to fraction form
    1,443.78/1,992.43 = 780.64/x
  3. Step 3: Cross multiply
    1,443.78x = 1,992.43 × 780.64
  4. Step 4: Simplify right side
    1,443.78x = 1,555,371.09
  5. Step 5: Solve for x
    x = 1,555,371.09/1,443.78
  6. Step 6: Final answer
    x = 1,077.29

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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.