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Finding the Fourth Proportional to 994.30, 1,371.69 and 601.09

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Solution

The fourth proportional to 994.30, 1,371.69 and 601.09 is: 829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.30 : 1,371.69 = 601.09 : x
  2. Step 2: Convert to fraction form
    994.30/1,371.69 = 601.09/x
  3. Step 3: Cross multiply
    994.30x = 1,371.69 × 601.09
  4. Step 4: Simplify right side
    994.30x = 824,509.14
  5. Step 5: Solve for x
    x = 824,509.14/994.30
  6. Step 6: Final answer
    x = 829.24

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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.