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Finding the Fourth Proportional to 994.55, 1,372.93 and 596.39

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Solution

The fourth proportional to 994.55, 1,372.93 and 596.39 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.55 : 1,372.93 = 596.39 : x
  2. Step 2: Convert to fraction form
    994.55/1,372.93 = 596.39/x
  3. Step 3: Cross multiply
    994.55x = 1,372.93 × 596.39
  4. Step 4: Simplify right side
    994.55x = 818,793.37
  5. Step 5: Solve for x
    x = 818,793.37/994.55
  6. Step 6: Final answer
    x = 823.28

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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.