Home / 1,289.26-1,930.65-923.86

Finding the Fourth Proportional to 1,289.26, 1,930.65 and 923.86

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Solution

The fourth proportional to 1,289.26, 1,930.65 and 923.86 is: 1,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.26 : 1,930.65 = 923.86 : x
  2. Step 2: Convert to fraction form
    1,289.26/1,930.65 = 923.86/x
  3. Step 3: Cross multiply
    1,289.26x = 1,930.65 × 923.86
  4. Step 4: Simplify right side
    1,289.26x = 1,783,650.31
  5. Step 5: Solve for x
    x = 1,783,650.31/1,289.26
  6. Step 6: Final answer
    x = 1,383.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.