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Finding the Fourth Proportional to 994.23, 1,371.83 and 601.25

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Solution

The fourth proportional to 994.23, 1,371.83 and 601.25 is: 829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.23 : 1,371.83 = 601.25 : x
  2. Step 2: Convert to fraction form
    994.23/1,371.83 = 601.25/x
  3. Step 3: Cross multiply
    994.23x = 1,371.83 × 601.25
  4. Step 4: Simplify right side
    994.23x = 824,808.07
  5. Step 5: Solve for x
    x = 824,808.07/994.23
  6. Step 6: Final answer
    x = 829.59

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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.