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Finding the Fourth Proportional to 681.03, 1,021.23 and 316.08

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Solution

The fourth proportional to 681.03, 1,021.23 and 316.08 is: 473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.03 : 1,021.23 = 316.08 : x
  2. Step 2: Convert to fraction form
    681.03/1,021.23 = 316.08/x
  3. Step 3: Cross multiply
    681.03x = 1,021.23 × 316.08
  4. Step 4: Simplify right side
    681.03x = 322,790.38
  5. Step 5: Solve for x
    x = 322,790.38/681.03
  6. Step 6: Final answer
    x = 473.97

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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.