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Finding the Fourth Proportional to 1,289.89, 1,778.71 and 1,103.99

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Solution

The fourth proportional to 1,289.89, 1,778.71 and 1,103.99 is: 1,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.89 : 1,778.71 = 1,103.99 : x
  2. Step 2: Convert to fraction form
    1,289.89/1,778.71 = 1,103.99/x
  3. Step 3: Cross multiply
    1,289.89x = 1,778.71 × 1,103.99
  4. Step 4: Simplify right side
    1,289.89x = 1,963,678.05
  5. Step 5: Solve for x
    x = 1,963,678.05/1,289.89
  6. Step 6: Final answer
    x = 1,522.36

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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.