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Finding the Fourth Proportional to 731.84, 1,096.74 and 622.49

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Solution

The fourth proportional to 731.84, 1,096.74 and 622.49 is: 932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.84 : 1,096.74 = 622.49 : x
  2. Step 2: Convert to fraction form
    731.84/1,096.74 = 622.49/x
  3. Step 3: Cross multiply
    731.84x = 1,096.74 × 622.49
  4. Step 4: Simplify right side
    731.84x = 682,704.20
  5. Step 5: Solve for x
    x = 682,704.20/731.84
  6. Step 6: Final answer
    x = 932.87

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Double scale
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1.5x scale

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.