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Finding the Fourth Proportional to 1,369.69, 1,889.49 and 865.32

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Solution

The fourth proportional to 1,369.69, 1,889.49 and 865.32 is: 1,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.69 : 1,889.49 = 865.32 : x
  2. Step 2: Convert to fraction form
    1,369.69/1,889.49 = 865.32/x
  3. Step 3: Cross multiply
    1,369.69x = 1,889.49 × 865.32
  4. Step 4: Simplify right side
    1,369.69x = 1,635,013.49
  5. Step 5: Solve for x
    x = 1,635,013.49/1,369.69
  6. Step 6: Final answer
    x = 1,193.71

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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.