Home / 1,292.43-1,938.74-414.94

Finding the Fourth Proportional to 1,292.43, 1,938.74 and 414.94

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Solution

The fourth proportional to 1,292.43, 1,938.74 and 414.94 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.43 : 1,938.74 = 414.94 : x
  2. Step 2: Convert to fraction form
    1,292.43/1,938.74 = 414.94/x
  3. Step 3: Cross multiply
    1,292.43x = 1,938.74 × 414.94
  4. Step 4: Simplify right side
    1,292.43x = 804,460.78
  5. Step 5: Solve for x
    x = 804,460.78/1,292.43
  6. Step 6: Final answer
    x = 622.44

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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.