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Finding the Fourth Proportional to 1,118.34, 1,544.49 and 996.18

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Solution

The fourth proportional to 1,118.34, 1,544.49 and 996.18 is: 1,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.34 : 1,544.49 = 996.18 : x
  2. Step 2: Convert to fraction form
    1,118.34/1,544.49 = 996.18/x
  3. Step 3: Cross multiply
    1,118.34x = 1,544.49 × 996.18
  4. Step 4: Simplify right side
    1,118.34x = 1,538,590.05
  5. Step 5: Solve for x
    x = 1,538,590.05/1,118.34
  6. Step 6: Final answer
    x = 1,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.