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Finding the Fourth Proportional to 1,206.82, 1,808.34 and 963.28

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Solution

The fourth proportional to 1,206.82, 1,808.34 and 963.28 is: 1,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.82 : 1,808.34 = 963.28 : x
  2. Step 2: Convert to fraction form
    1,206.82/1,808.34 = 963.28/x
  3. Step 3: Cross multiply
    1,206.82x = 1,808.34 × 963.28
  4. Step 4: Simplify right side
    1,206.82x = 1,741,937.76
  5. Step 5: Solve for x
    x = 1,741,937.76/1,206.82
  6. Step 6: Final answer
    x = 1,443.41

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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.