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Finding the Fourth Proportional to 994.92, 1,373.43 and 596.76

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Solution

The fourth proportional to 994.92, 1,373.43 and 596.76 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.92 : 1,373.43 = 596.76 : x
  2. Step 2: Convert to fraction form
    994.92/1,373.43 = 596.76/x
  3. Step 3: Cross multiply
    994.92x = 1,373.43 × 596.76
  4. Step 4: Simplify right side
    994.92x = 819,608.09
  5. Step 5: Solve for x
    x = 819,608.09/994.92
  6. Step 6: Final answer
    x = 823.79

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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.