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Finding the Fourth Proportional to 994.19, 1,371.82 and 595.73

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Solution

The fourth proportional to 994.19, 1,371.82 and 595.73 is: 822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.19 : 1,371.82 = 595.73 : x
  2. Step 2: Convert to fraction form
    994.19/1,371.82 = 595.73/x
  3. Step 3: Cross multiply
    994.19x = 1,371.82 × 595.73
  4. Step 4: Simplify right side
    994.19x = 817,234.33
  5. Step 5: Solve for x
    x = 817,234.33/994.19
  6. Step 6: Final answer
    x = 822.01

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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.