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Finding the Fourth Proportional to 696.38, 1,044.56 and 183.38

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Solution

The fourth proportional to 696.38, 1,044.56 and 183.38 is: 275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.38 : 1,044.56 = 183.38 : x
  2. Step 2: Convert to fraction form
    696.38/1,044.56 = 183.38/x
  3. Step 3: Cross multiply
    696.38x = 1,044.56 × 183.38
  4. Step 4: Simplify right side
    696.38x = 191,546.65
  5. Step 5: Solve for x
    x = 191,546.65/696.38
  6. Step 6: Final answer
    x = 275.06

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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.