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Finding the Fourth Proportional to 1,283.23, 1,923.36 and 625.43

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Solution

The fourth proportional to 1,283.23, 1,923.36 and 625.43 is: 937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.23 : 1,923.36 = 625.43 : x
  2. Step 2: Convert to fraction form
    1,283.23/1,923.36 = 625.43/x
  3. Step 3: Cross multiply
    1,283.23x = 1,923.36 × 625.43
  4. Step 4: Simplify right side
    1,283.23x = 1,202,927.04
  5. Step 5: Solve for x
    x = 1,202,927.04/1,283.23
  6. Step 6: Final answer
    x = 937.42

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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.