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Finding the Fourth Proportional to 681.75, 1,022.76 and 407.52

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Solution

The fourth proportional to 681.75, 1,022.76 and 407.52 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.75 : 1,022.76 = 407.52 : x
  2. Step 2: Convert to fraction form
    681.75/1,022.76 = 407.52/x
  3. Step 3: Cross multiply
    681.75x = 1,022.76 × 407.52
  4. Step 4: Simplify right side
    681.75x = 416,795.16
  5. Step 5: Solve for x
    x = 416,795.16/681.75
  6. Step 6: Final answer
    x = 611.36

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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.