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Finding the Fourth Proportional to 1,455.11, 2,183.07 and 633.46

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Solution

The fourth proportional to 1,455.11, 2,183.07 and 633.46 is: 950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.11 : 2,183.07 = 633.46 : x
  2. Step 2: Convert to fraction form
    1,455.11/2,183.07 = 633.46/x
  3. Step 3: Cross multiply
    1,455.11x = 2,183.07 × 633.46
  4. Step 4: Simplify right side
    1,455.11x = 1,382,887.52
  5. Step 5: Solve for x
    x = 1,382,887.52/1,455.11
  6. Step 6: Final answer
    x = 950.37

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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.