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Finding the Fourth Proportional to 731.19, 1,096.76 and 183.37

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Solution

The fourth proportional to 731.19, 1,096.76 and 183.37 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.19 : 1,096.76 = 183.37 : x
  2. Step 2: Convert to fraction form
    731.19/1,096.76 = 183.37/x
  3. Step 3: Cross multiply
    731.19x = 1,096.76 × 183.37
  4. Step 4: Simplify right side
    731.19x = 201,112.88
  5. Step 5: Solve for x
    x = 201,112.88/731.19
  6. Step 6: Final answer
    x = 275.05

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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.