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Finding the Fourth Proportional to 681.66, 1,022.49 and 248.82

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Solution

The fourth proportional to 681.66, 1,022.49 and 248.82 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.66 : 1,022.49 = 248.82 : x
  2. Step 2: Convert to fraction form
    681.66/1,022.49 = 248.82/x
  3. Step 3: Cross multiply
    681.66x = 1,022.49 × 248.82
  4. Step 4: Simplify right side
    681.66x = 254,415.96
  5. Step 5: Solve for x
    x = 254,415.96/681.66
  6. Step 6: Final answer
    x = 373.23

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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.