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Finding the Fourth Proportional to 896.11, 1,342.64 and 700.29

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Solution

The fourth proportional to 896.11, 1,342.64 and 700.29 is: 1,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.11 : 1,342.64 = 700.29 : x
  2. Step 2: Convert to fraction form
    896.11/1,342.64 = 700.29/x
  3. Step 3: Cross multiply
    896.11x = 1,342.64 × 700.29
  4. Step 4: Simplify right side
    896.11x = 940,239.12
  5. Step 5: Solve for x
    x = 940,239.12/896.11
  6. Step 6: Final answer
    x = 1,049.25

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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.