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Finding the Fourth Proportional to 692.78, 1,038.26 and 281.44

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Solution

The fourth proportional to 692.78, 1,038.26 and 281.44 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.78 : 1,038.26 = 281.44 : x
  2. Step 2: Convert to fraction form
    692.78/1,038.26 = 281.44/x
  3. Step 3: Cross multiply
    692.78x = 1,038.26 × 281.44
  4. Step 4: Simplify right side
    692.78x = 292,207.89
  5. Step 5: Solve for x
    x = 292,207.89/692.78
  6. Step 6: Final answer
    x = 421.79

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