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Finding the Fourth Proportional to 1,083.69, 1,492.54 and 936.27

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Solution

The fourth proportional to 1,083.69, 1,492.54 and 936.27 is: 1,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.69 : 1,492.54 = 936.27 : x
  2. Step 2: Convert to fraction form
    1,083.69/1,492.54 = 936.27/x
  3. Step 3: Cross multiply
    1,083.69x = 1,492.54 × 936.27
  4. Step 4: Simplify right side
    1,083.69x = 1,397,418.09
  5. Step 5: Solve for x
    x = 1,397,418.09/1,083.69
  6. Step 6: Final answer
    x = 1,289.50

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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.