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Finding the Fourth Proportional to 681.46, 1,022.12 and 438.10

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Solution

The fourth proportional to 681.46, 1,022.12 and 438.10 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.46 : 1,022.12 = 438.10 : x
  2. Step 2: Convert to fraction form
    681.46/1,022.12 = 438.10/x
  3. Step 3: Cross multiply
    681.46x = 1,022.12 × 438.10
  4. Step 4: Simplify right side
    681.46x = 447,790.77
  5. Step 5: Solve for x
    x = 447,790.77/681.46
  6. Step 6: Final answer
    x = 657.10

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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.