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Finding the Fourth Proportional to 749.05, 1,123.65 and 201.23

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Solution

The fourth proportional to 749.05, 1,123.65 and 201.23 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.05 : 1,123.65 = 201.23 : x
  2. Step 2: Convert to fraction form
    749.05/1,123.65 = 201.23/x
  3. Step 3: Cross multiply
    749.05x = 1,123.65 × 201.23
  4. Step 4: Simplify right side
    749.05x = 226,116.44
  5. Step 5: Solve for x
    x = 226,116.44/749.05
  6. Step 6: Final answer
    x = 301.87

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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.