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Finding the Fourth Proportional to 1,369.82, 1,890.33 and 748.82

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Solution

The fourth proportional to 1,369.82, 1,890.33 and 748.82 is: 1,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.82 : 1,890.33 = 748.82 : x
  2. Step 2: Convert to fraction form
    1,369.82/1,890.33 = 748.82/x
  3. Step 3: Cross multiply
    1,369.82x = 1,890.33 × 748.82
  4. Step 4: Simplify right side
    1,369.82x = 1,415,516.91
  5. Step 5: Solve for x
    x = 1,415,516.91/1,369.82
  6. Step 6: Final answer
    x = 1,033.36

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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.