Home / 1,082.41-1,623.44-465.95

Finding the Fourth Proportional to 1,082.41, 1,623.44 and 465.95

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Solution

The fourth proportional to 1,082.41, 1,623.44 and 465.95 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.41 : 1,623.44 = 465.95 : x
  2. Step 2: Convert to fraction form
    1,082.41/1,623.44 = 465.95/x
  3. Step 3: Cross multiply
    1,082.41x = 1,623.44 × 465.95
  4. Step 4: Simplify right side
    1,082.41x = 756,447.09
  5. Step 5: Solve for x
    x = 756,447.09/1,082.41
  6. Step 6: Final answer
    x = 698.85

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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.