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Finding the Fourth Proportional to 1,103.99, 1,523.50 and 599.84

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Solution

The fourth proportional to 1,103.99, 1,523.50 and 599.84 is: 827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.99 : 1,523.50 = 599.84 : x
  2. Step 2: Convert to fraction form
    1,103.99/1,523.50 = 599.84/x
  3. Step 3: Cross multiply
    1,103.99x = 1,523.50 × 599.84
  4. Step 4: Simplify right side
    1,103.99x = 913,861.14
  5. Step 5: Solve for x
    x = 913,861.14/1,103.99
  6. Step 6: Final answer
    x = 827.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.