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Finding the Fourth Proportional to 1,108.25, 1,662.52 and 377.63

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Solution

The fourth proportional to 1,108.25, 1,662.52 and 377.63 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.25 : 1,662.52 = 377.63 : x
  2. Step 2: Convert to fraction form
    1,108.25/1,662.52 = 377.63/x
  3. Step 3: Cross multiply
    1,108.25x = 1,662.52 × 377.63
  4. Step 4: Simplify right side
    1,108.25x = 627,817.43
  5. Step 5: Solve for x
    x = 627,817.43/1,108.25
  6. Step 6: Final answer
    x = 566.49

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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.