Home / 1,280.73-1,921.07-415.05

Finding the Fourth Proportional to 1,280.73, 1,921.07 and 415.05

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Solution

The fourth proportional to 1,280.73, 1,921.07 and 415.05 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.73 : 1,921.07 = 415.05 : x
  2. Step 2: Convert to fraction form
    1,280.73/1,921.07 = 415.05/x
  3. Step 3: Cross multiply
    1,280.73x = 1,921.07 × 415.05
  4. Step 4: Simplify right side
    1,280.73x = 797,330.50
  5. Step 5: Solve for x
    x = 797,330.50/1,280.73
  6. Step 6: Final answer
    x = 622.56

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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.