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Finding the Fourth Proportional to 1,108.54, 1,662.96 and 378.23

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Solution

The fourth proportional to 1,108.54, 1,662.96 and 378.23 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.54 : 1,662.96 = 378.23 : x
  2. Step 2: Convert to fraction form
    1,108.54/1,662.96 = 378.23/x
  3. Step 3: Cross multiply
    1,108.54x = 1,662.96 × 378.23
  4. Step 4: Simplify right side
    1,108.54x = 628,981.36
  5. Step 5: Solve for x
    x = 628,981.36/1,108.54
  6. Step 6: Final answer
    x = 567.40

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