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Finding the Fourth Proportional to 1,082.30, 1,623.78 and 388.94

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Solution

The fourth proportional to 1,082.30, 1,623.78 and 388.94 is: 583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.30 : 1,623.78 = 388.94 : x
  2. Step 2: Convert to fraction form
    1,082.30/1,623.78 = 388.94/x
  3. Step 3: Cross multiply
    1,082.30x = 1,623.78 × 388.94
  4. Step 4: Simplify right side
    1,082.30x = 631,544.87
  5. Step 5: Solve for x
    x = 631,544.87/1,082.30
  6. Step 6: Final answer
    x = 583.52

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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.