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Finding the Fourth Proportional to 681.51, 940.38 and 646.92

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Solution

The fourth proportional to 681.51, 940.38 and 646.92 is: 892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.51 : 940.38 = 646.92 : x
  2. Step 2: Convert to fraction form
    681.51/940.38 = 646.92/x
  3. Step 3: Cross multiply
    681.51x = 940.38 × 646.92
  4. Step 4: Simplify right side
    681.51x = 608,348.20
  5. Step 5: Solve for x
    x = 608,348.20/681.51
  6. Step 6: Final answer
    x = 892.64

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Why These Related Problems?

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