Home / 1,388.20-2,082.58-414.26

Finding the Fourth Proportional to 1,388.20, 2,082.58 and 414.26

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Solution

The fourth proportional to 1,388.20, 2,082.58 and 414.26 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.20 : 2,082.58 = 414.26 : x
  2. Step 2: Convert to fraction form
    1,388.20/2,082.58 = 414.26/x
  3. Step 3: Cross multiply
    1,388.20x = 2,082.58 × 414.26
  4. Step 4: Simplify right side
    1,388.20x = 862,729.59
  5. Step 5: Solve for x
    x = 862,729.59/1,388.20
  6. Step 6: Final answer
    x = 621.47

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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.