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Finding the Fourth Proportional to 1,108.44, 1,662.96 and 378.07

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Solution

The fourth proportional to 1,108.44, 1,662.96 and 378.07 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.44 : 1,662.96 = 378.07 : x
  2. Step 2: Convert to fraction form
    1,108.44/1,662.96 = 378.07/x
  3. Step 3: Cross multiply
    1,108.44x = 1,662.96 × 378.07
  4. Step 4: Simplify right side
    1,108.44x = 628,715.29
  5. Step 5: Solve for x
    x = 628,715.29/1,108.44
  6. Step 6: Final answer
    x = 567.21

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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.