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Finding the Fourth Proportional to 1,086.20, 1,628.70 and 469.80

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Solution

The fourth proportional to 1,086.20, 1,628.70 and 469.80 is: 704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.20 : 1,628.70 = 469.80 : x
  2. Step 2: Convert to fraction form
    1,086.20/1,628.70 = 469.80/x
  3. Step 3: Cross multiply
    1,086.20x = 1,628.70 × 469.80
  4. Step 4: Simplify right side
    1,086.20x = 765,163.26
  5. Step 5: Solve for x
    x = 765,163.26/1,086.20
  6. Step 6: Final answer
    x = 704.44

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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.