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Finding the Fourth Proportional to 1,093.32, 1,640.16 and 443.88

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Solution

The fourth proportional to 1,093.32, 1,640.16 and 443.88 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.32 : 1,640.16 = 443.88 : x
  2. Step 2: Convert to fraction form
    1,093.32/1,640.16 = 443.88/x
  3. Step 3: Cross multiply
    1,093.32x = 1,640.16 × 443.88
  4. Step 4: Simplify right side
    1,093.32x = 728,034.22
  5. Step 5: Solve for x
    x = 728,034.22/1,093.32
  6. Step 6: Final answer
    x = 665.89

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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.