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Finding the Fourth Proportional to 1,096.22, 1,644.09 and 316.23

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Solution

The fourth proportional to 1,096.22, 1,644.09 and 316.23 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.22 : 1,644.09 = 316.23 : x
  2. Step 2: Convert to fraction form
    1,096.22/1,644.09 = 316.23/x
  3. Step 3: Cross multiply
    1,096.22x = 1,644.09 × 316.23
  4. Step 4: Simplify right side
    1,096.22x = 519,903.23
  5. Step 5: Solve for x
    x = 519,903.23/1,096.22
  6. Step 6: Final answer
    x = 474.27

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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.