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Finding the Fourth Proportional to 1,443.82, 1,992.47 and 780.67

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Solution

The fourth proportional to 1,443.82, 1,992.47 and 780.67 is: 1,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.82 : 1,992.47 = 780.67 : x
  2. Step 2: Convert to fraction form
    1,443.82/1,992.47 = 780.67/x
  3. Step 3: Cross multiply
    1,443.82x = 1,992.47 × 780.67
  4. Step 4: Simplify right side
    1,443.82x = 1,555,447.69
  5. Step 5: Solve for x
    x = 1,555,447.69/1,443.82
  6. Step 6: Final answer
    x = 1,077.31

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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.