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Finding the Fourth Proportional to 681.69, 940.83 and 386.90

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Solution

The fourth proportional to 681.69, 940.83 and 386.90 is: 533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.69 : 940.83 = 386.90 : x
  2. Step 2: Convert to fraction form
    681.69/940.83 = 386.90/x
  3. Step 3: Cross multiply
    681.69x = 940.83 × 386.90
  4. Step 4: Simplify right side
    681.69x = 364,002.42
  5. Step 5: Solve for x
    x = 364,002.42/681.69
  6. Step 6: Final answer
    x = 533.97

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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.