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Finding the Fourth Proportional to 935.58, 1,396.03 and 843.42

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Solution

The fourth proportional to 935.58, 1,396.03 and 843.42 is: 1,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.58 : 1,396.03 = 843.42 : x
  2. Step 2: Convert to fraction form
    935.58/1,396.03 = 843.42/x
  3. Step 3: Cross multiply
    935.58x = 1,396.03 × 843.42
  4. Step 4: Simplify right side
    935.58x = 1,177,439.62
  5. Step 5: Solve for x
    x = 1,177,439.62/935.58
  6. Step 6: Final answer
    x = 1,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.