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Finding the Fourth Proportional to 1,207.38, 1,811.09 and 427.37

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Solution

The fourth proportional to 1,207.38, 1,811.09 and 427.37 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.38 : 1,811.09 = 427.37 : x
  2. Step 2: Convert to fraction form
    1,207.38/1,811.09 = 427.37/x
  3. Step 3: Cross multiply
    1,207.38x = 1,811.09 × 427.37
  4. Step 4: Simplify right side
    1,207.38x = 773,994.34
  5. Step 5: Solve for x
    x = 773,994.34/1,207.38
  6. Step 6: Final answer
    x = 641.05

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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.