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Finding the Fourth Proportional to 896.33, 1,345.21 and 825.77

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Solution

The fourth proportional to 896.33, 1,345.21 and 825.77 is: 1,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.33 : 1,345.21 = 825.77 : x
  2. Step 2: Convert to fraction form
    896.33/1,345.21 = 825.77/x
  3. Step 3: Cross multiply
    896.33x = 1,345.21 × 825.77
  4. Step 4: Simplify right side
    896.33x = 1,110,825.27
  5. Step 5: Solve for x
    x = 1,110,825.27/896.33
  6. Step 6: Final answer
    x = 1,239.31

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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.