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Finding the Fourth Proportional to 1,087.40, 1,629.90 and 600.80

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Solution

The fourth proportional to 1,087.40, 1,629.90 and 600.80 is: 900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.40 : 1,629.90 = 600.80 : x
  2. Step 2: Convert to fraction form
    1,087.40/1,629.90 = 600.80/x
  3. Step 3: Cross multiply
    1,087.40x = 1,629.90 × 600.80
  4. Step 4: Simplify right side
    1,087.40x = 979,243.92
  5. Step 5: Solve for x
    x = 979,243.92/1,087.40
  6. Step 6: Final answer
    x = 900.54

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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.