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Finding the Fourth Proportional to 1,485.83, 2,230.09 and 793.09

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Solution

The fourth proportional to 1,485.83, 2,230.09 and 793.09 is: 1,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.83 : 2,230.09 = 793.09 : x
  2. Step 2: Convert to fraction form
    1,485.83/2,230.09 = 793.09/x
  3. Step 3: Cross multiply
    1,485.83x = 2,230.09 × 793.09
  4. Step 4: Simplify right side
    1,485.83x = 1,768,650.93
  5. Step 5: Solve for x
    x = 1,768,650.93/1,485.83
  6. Step 6: Final answer
    x = 1,190.35

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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.