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Finding the Fourth Proportional to 1,103.91, 1,523.39 and 599.76

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Solution

The fourth proportional to 1,103.91, 1,523.39 and 599.76 is: 827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.91 : 1,523.39 = 599.76 : x
  2. Step 2: Convert to fraction form
    1,103.91/1,523.39 = 599.76/x
  3. Step 3: Cross multiply
    1,103.91x = 1,523.39 × 599.76
  4. Step 4: Simplify right side
    1,103.91x = 913,669.89
  5. Step 5: Solve for x
    x = 913,669.89/1,103.91
  6. Step 6: Final answer
    x = 827.67

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