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Finding the Fourth Proportional to 1,336.34, 2,004.74 and 596.22

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Solution

The fourth proportional to 1,336.34, 2,004.74 and 596.22 is: 894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.34 : 2,004.74 = 596.22 : x
  2. Step 2: Convert to fraction form
    1,336.34/2,004.74 = 596.22/x
  3. Step 3: Cross multiply
    1,336.34x = 2,004.74 × 596.22
  4. Step 4: Simplify right side
    1,336.34x = 1,195,266.08
  5. Step 5: Solve for x
    x = 1,195,266.08/1,336.34
  6. Step 6: Final answer
    x = 894.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.