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Finding the Fourth Proportional to 731.14, 1,096.90 and 384.37

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Solution

The fourth proportional to 731.14, 1,096.90 and 384.37 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.14 : 1,096.90 = 384.37 : x
  2. Step 2: Convert to fraction form
    731.14/1,096.90 = 384.37/x
  3. Step 3: Cross multiply
    731.14x = 1,096.90 × 384.37
  4. Step 4: Simplify right side
    731.14x = 421,615.45
  5. Step 5: Solve for x
    x = 421,615.45/731.14
  6. Step 6: Final answer
    x = 576.65

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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.