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Finding the Fourth Proportional to 1,108.14, 1,662.31 and 286.43

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Solution

The fourth proportional to 1,108.14, 1,662.31 and 286.43 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.14 : 1,662.31 = 286.43 : x
  2. Step 2: Convert to fraction form
    1,108.14/1,662.31 = 286.43/x
  3. Step 3: Cross multiply
    1,108.14x = 1,662.31 × 286.43
  4. Step 4: Simplify right side
    1,108.14x = 476,138.18
  5. Step 5: Solve for x
    x = 476,138.18/1,108.14
  6. Step 6: Final answer
    x = 429.67

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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.