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Finding the Fourth Proportional to 681.71, 940.23 and 577.09

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Solution

The fourth proportional to 681.71, 940.23 and 577.09 is: 795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.71 : 940.23 = 577.09 : x
  2. Step 2: Convert to fraction form
    681.71/940.23 = 577.09/x
  3. Step 3: Cross multiply
    681.71x = 940.23 × 577.09
  4. Step 4: Simplify right side
    681.71x = 542,594.98
  5. Step 5: Solve for x
    x = 542,594.98/681.71
  6. Step 6: Final answer
    x = 795.93

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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.