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Finding the Fourth Proportional to 1,108.15, 1,662.33 and 286.42

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Solution

The fourth proportional to 1,108.15, 1,662.33 and 286.42 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.15 : 1,662.33 = 286.42 : x
  2. Step 2: Convert to fraction form
    1,108.15/1,662.33 = 286.42/x
  3. Step 3: Cross multiply
    1,108.15x = 1,662.33 × 286.42
  4. Step 4: Simplify right side
    1,108.15x = 476,124.56
  5. Step 5: Solve for x
    x = 476,124.56/1,108.15
  6. Step 6: Final answer
    x = 429.66

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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.