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Finding the Fourth Proportional to 1,021.34, 1,400.40 and 996.73

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Solution

The fourth proportional to 1,021.34, 1,400.40 and 996.73 is: 1,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.34 : 1,400.40 = 996.73 : x
  2. Step 2: Convert to fraction form
    1,021.34/1,400.40 = 996.73/x
  3. Step 3: Cross multiply
    1,021.34x = 1,400.40 × 996.73
  4. Step 4: Simplify right side
    1,021.34x = 1,395,817.19
  5. Step 5: Solve for x
    x = 1,395,817.19/1,021.34
  6. Step 6: Final answer
    x = 1,366.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.