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Finding the Fourth Proportional to 731.07, 1,096.61 and 244.67

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Solution

The fourth proportional to 731.07, 1,096.61 and 244.67 is: 367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.07 : 1,096.61 = 244.67 : x
  2. Step 2: Convert to fraction form
    731.07/1,096.61 = 244.67/x
  3. Step 3: Cross multiply
    731.07x = 1,096.61 × 244.67
  4. Step 4: Simplify right side
    731.07x = 268,300.86
  5. Step 5: Solve for x
    x = 268,300.86/731.07
  6. Step 6: Final answer
    x = 367.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.