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Finding the Fourth Proportional to 935.82, 1,403.72 and 422.82

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Solution

The fourth proportional to 935.82, 1,403.72 and 422.82 is: 634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.82 : 1,403.72 = 422.82 : x
  2. Step 2: Convert to fraction form
    935.82/1,403.72 = 422.82/x
  3. Step 3: Cross multiply
    935.82x = 1,403.72 × 422.82
  4. Step 4: Simplify right side
    935.82x = 593,520.89
  5. Step 5: Solve for x
    x = 593,520.89/935.82
  6. Step 6: Final answer
    x = 634.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.