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Finding the Fourth Proportional to 1,283.19, 1,922.34 and 762.09

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Solution

The fourth proportional to 1,283.19, 1,922.34 and 762.09 is: 1,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.19 : 1,922.34 = 762.09 : x
  2. Step 2: Convert to fraction form
    1,283.19/1,922.34 = 762.09/x
  3. Step 3: Cross multiply
    1,283.19x = 1,922.34 × 762.09
  4. Step 4: Simplify right side
    1,283.19x = 1,464,996.09
  5. Step 5: Solve for x
    x = 1,464,996.09/1,283.19
  6. Step 6: Final answer
    x = 1,141.68

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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.