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Finding the Fourth Proportional to 681.37, 1,022.00 and 219.02

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Solution

The fourth proportional to 681.37, 1,022.00 and 219.02 is: 328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.37 : 1,022.00 = 219.02 : x
  2. Step 2: Convert to fraction form
    681.37/1,022.00 = 219.02/x
  3. Step 3: Cross multiply
    681.37x = 1,022.00 × 219.02
  4. Step 4: Simplify right side
    681.37x = 223,837.34
  5. Step 5: Solve for x
    x = 223,837.34/681.37
  6. Step 6: Final answer
    x = 328.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.