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Finding the Fourth Proportional to 681.80, 1,023.03 and 316.15

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Solution

The fourth proportional to 681.80, 1,023.03 and 316.15 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.80 : 1,023.03 = 316.15 : x
  2. Step 2: Convert to fraction form
    681.80/1,023.03 = 316.15/x
  3. Step 3: Cross multiply
    681.80x = 1,023.03 × 316.15
  4. Step 4: Simplify right side
    681.80x = 323,428.38
  5. Step 5: Solve for x
    x = 323,428.38/681.80
  6. Step 6: Final answer
    x = 474.38

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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.