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Finding the Fourth Proportional to 681.09, 940.05 and 471.71

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Solution

The fourth proportional to 681.09, 940.05 and 471.71 is: 651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.09 : 940.05 = 471.71 : x
  2. Step 2: Convert to fraction form
    681.09/940.05 = 471.71/x
  3. Step 3: Cross multiply
    681.09x = 940.05 × 471.71
  4. Step 4: Simplify right side
    681.09x = 443,426.29
  5. Step 5: Solve for x
    x = 443,426.29/681.09
  6. Step 6: Final answer
    x = 651.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.