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Finding the Fourth Proportional to 931.01, 1,283.99 and 682.27

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Solution

The fourth proportional to 931.01, 1,283.99 and 682.27 is: 940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.01 : 1,283.99 = 682.27 : x
  2. Step 2: Convert to fraction form
    931.01/1,283.99 = 682.27/x
  3. Step 3: Cross multiply
    931.01x = 1,283.99 × 682.27
  4. Step 4: Simplify right side
    931.01x = 876,021.24
  5. Step 5: Solve for x
    x = 876,021.24/931.01
  6. Step 6: Final answer
    x = 940.94

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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.