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Finding the Fourth Proportional to 994.12, 1,371.99 and 601.13

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Solution

The fourth proportional to 994.12, 1,371.99 and 601.13 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.12 : 1,371.99 = 601.13 : x
  2. Step 2: Convert to fraction form
    994.12/1,371.99 = 601.13/x
  3. Step 3: Cross multiply
    994.12x = 1,371.99 × 601.13
  4. Step 4: Simplify right side
    994.12x = 824,744.35
  5. Step 5: Solve for x
    x = 824,744.35/994.12
  6. Step 6: Final answer
    x = 829.62

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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.