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Finding the Fourth Proportional to 1,388.39, 2,083.82 and 609.57

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Solution

The fourth proportional to 1,388.39, 2,083.82 and 609.57 is: 914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.39 : 2,083.82 = 609.57 : x
  2. Step 2: Convert to fraction form
    1,388.39/2,083.82 = 609.57/x
  3. Step 3: Cross multiply
    1,388.39x = 2,083.82 × 609.57
  4. Step 4: Simplify right side
    1,388.39x = 1,270,231.11
  5. Step 5: Solve for x
    x = 1,270,231.11/1,388.39
  6. Step 6: Final answer
    x = 914.90

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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.