Home / 1,388.28-2,082.44-414.42

Finding the Fourth Proportional to 1,388.28, 2,082.44 and 414.42

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Solution

The fourth proportional to 1,388.28, 2,082.44 and 414.42 is: 621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.28 : 2,082.44 = 414.42 : x
  2. Step 2: Convert to fraction form
    1,388.28/2,082.44 = 414.42/x
  3. Step 3: Cross multiply
    1,388.28x = 2,082.44 × 414.42
  4. Step 4: Simplify right side
    1,388.28x = 863,004.78
  5. Step 5: Solve for x
    x = 863,004.78/1,388.28
  6. Step 6: Final answer
    x = 621.64

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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.