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Finding the Fourth Proportional to 681.63, 940.73 and 495.06

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Solution

The fourth proportional to 681.63, 940.73 and 495.06 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.63 : 940.73 = 495.06 : x
  2. Step 2: Convert to fraction form
    681.63/940.73 = 495.06/x
  3. Step 3: Cross multiply
    681.63x = 940.73 × 495.06
  4. Step 4: Simplify right side
    681.63x = 465,717.79
  5. Step 5: Solve for x
    x = 465,717.79/681.63
  6. Step 6: Final answer
    x = 683.24

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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.