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Finding the Fourth Proportional to 931.97, 1,286.25 and 601.36

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Solution

The fourth proportional to 931.97, 1,286.25 and 601.36 is: 829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,286.25 = 601.36 : x
  2. Step 2: Convert to fraction form
    931.97/1,286.25 = 601.36/x
  3. Step 3: Cross multiply
    931.97x = 1,286.25 × 601.36
  4. Step 4: Simplify right side
    931.97x = 773,499.26
  5. Step 5: Solve for x
    x = 773,499.26/931.97
  6. Step 6: Final answer
    x = 829.96

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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.