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Finding the Fourth Proportional to 1,096.27, 1,644.36 and 365.79

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Solution

The fourth proportional to 1,096.27, 1,644.36 and 365.79 is: 548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.27 : 1,644.36 = 365.79 : x
  2. Step 2: Convert to fraction form
    1,096.27/1,644.36 = 365.79/x
  3. Step 3: Cross multiply
    1,096.27x = 1,644.36 × 365.79
  4. Step 4: Simplify right side
    1,096.27x = 601,490.44
  5. Step 5: Solve for x
    x = 601,490.44/1,096.27
  6. Step 6: Final answer
    x = 548.67

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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.