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Finding the Fourth Proportional to 1,020.44, 1,408.20 and 621.98

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Solution

The fourth proportional to 1,020.44, 1,408.20 and 621.98 is: 858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.44 : 1,408.20 = 621.98 : x
  2. Step 2: Convert to fraction form
    1,020.44/1,408.20 = 621.98/x
  3. Step 3: Cross multiply
    1,020.44x = 1,408.20 × 621.98
  4. Step 4: Simplify right side
    1,020.44x = 875,872.24
  5. Step 5: Solve for x
    x = 875,872.24/1,020.44
  6. Step 6: Final answer
    x = 858.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.