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Finding the Fourth Proportional to 1,020.80, 1,408.90 and 951.54

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Solution

The fourth proportional to 1,020.80, 1,408.90 and 951.54 is: 1,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.80 : 1,408.90 = 951.54 : x
  2. Step 2: Convert to fraction form
    1,020.80/1,408.90 = 951.54/x
  3. Step 3: Cross multiply
    1,020.80x = 1,408.90 × 951.54
  4. Step 4: Simplify right side
    1,020.80x = 1,340,622.33
  5. Step 5: Solve for x
    x = 1,340,622.33/1,020.80
  6. Step 6: Final answer
    x = 1,313.31

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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.