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Finding the Fourth Proportional to 1,319.44, 1,820.85 and 729.97

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Solution

The fourth proportional to 1,319.44, 1,820.85 and 729.97 is: 1,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.44 : 1,820.85 = 729.97 : x
  2. Step 2: Convert to fraction form
    1,319.44/1,820.85 = 729.97/x
  3. Step 3: Cross multiply
    1,319.44x = 1,820.85 × 729.97
  4. Step 4: Simplify right side
    1,319.44x = 1,329,165.87
  5. Step 5: Solve for x
    x = 1,329,165.87/1,319.44
  6. Step 6: Final answer
    x = 1,007.37

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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.