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Finding the Fourth Proportional to 1,168.28, 1,748.16 and 704.36

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Solution

The fourth proportional to 1,168.28, 1,748.16 and 704.36 is: 1,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.28 : 1,748.16 = 704.36 : x
  2. Step 2: Convert to fraction form
    1,168.28/1,748.16 = 704.36/x
  3. Step 3: Cross multiply
    1,168.28x = 1,748.16 × 704.36
  4. Step 4: Simplify right side
    1,168.28x = 1,231,333.98
  5. Step 5: Solve for x
    x = 1,231,333.98/1,168.28
  6. Step 6: Final answer
    x = 1,053.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.