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Finding the Fourth Proportional to 1,152.05, 1,589.83 and 628.09

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Solution

The fourth proportional to 1,152.05, 1,589.83 and 628.09 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.05 : 1,589.83 = 628.09 : x
  2. Step 2: Convert to fraction form
    1,152.05/1,589.83 = 628.09/x
  3. Step 3: Cross multiply
    1,152.05x = 1,589.83 × 628.09
  4. Step 4: Simplify right side
    1,152.05x = 998,556.32
  5. Step 5: Solve for x
    x = 998,556.32/1,152.05
  6. Step 6: Final answer
    x = 866.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.