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Finding the Fourth Proportional to 1,216.33, 1,820.91 and 825.31

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Solution

The fourth proportional to 1,216.33, 1,820.91 and 825.31 is: 1,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.33 : 1,820.91 = 825.31 : x
  2. Step 2: Convert to fraction form
    1,216.33/1,820.91 = 825.31/x
  3. Step 3: Cross multiply
    1,216.33x = 1,820.91 × 825.31
  4. Step 4: Simplify right side
    1,216.33x = 1,502,815.23
  5. Step 5: Solve for x
    x = 1,502,815.23/1,216.33
  6. Step 6: Final answer
    x = 1,235.53

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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.