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Finding the Fourth Proportional to 1,208.06, 1,808.65 and 795.94

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Solution

The fourth proportional to 1,208.06, 1,808.65 and 795.94 is: 1,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,808.65 = 795.94 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,808.65 = 795.94/x
  3. Step 3: Cross multiply
    1,208.06x = 1,808.65 × 795.94
  4. Step 4: Simplify right side
    1,208.06x = 1,439,576.88
  5. Step 5: Solve for x
    x = 1,439,576.88/1,208.06
  6. Step 6: Final answer
    x = 1,191.64

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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.