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Finding the Fourth Proportional to 1,197.33, 1,795.36 and 375.38

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Solution

The fourth proportional to 1,197.33, 1,795.36 and 375.38 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.33 : 1,795.36 = 375.38 : x
  2. Step 2: Convert to fraction form
    1,197.33/1,795.36 = 375.38/x
  3. Step 3: Cross multiply
    1,197.33x = 1,795.36 × 375.38
  4. Step 4: Simplify right side
    1,197.33x = 673,942.24
  5. Step 5: Solve for x
    x = 673,942.24/1,197.33
  6. Step 6: Final answer
    x = 562.87

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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.