Home / 1,280.88-1,921.32-415.26

Finding the Fourth Proportional to 1,280.88, 1,921.32 and 415.26

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Solution

The fourth proportional to 1,280.88, 1,921.32 and 415.26 is: 622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.88 : 1,921.32 = 415.26 : x
  2. Step 2: Convert to fraction form
    1,280.88/1,921.32 = 415.26/x
  3. Step 3: Cross multiply
    1,280.88x = 1,921.32 × 415.26
  4. Step 4: Simplify right side
    1,280.88x = 797,847.34
  5. Step 5: Solve for x
    x = 797,847.34/1,280.88
  6. Step 6: Final answer
    x = 622.89

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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.