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Finding the Fourth Proportional to 825.09, 1,237.83 and 240.11

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Solution

The fourth proportional to 825.09, 1,237.83 and 240.11 is: 360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.09 : 1,237.83 = 240.11 : x
  2. Step 2: Convert to fraction form
    825.09/1,237.83 = 240.11/x
  3. Step 3: Cross multiply
    825.09x = 1,237.83 × 240.11
  4. Step 4: Simplify right side
    825.09x = 297,215.36
  5. Step 5: Solve for x
    x = 297,215.36/825.09
  6. Step 6: Final answer
    x = 360.22

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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.