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Finding the Fourth Proportional to 1,455.23, 2,183.22 and 633.66

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Solution

The fourth proportional to 1,455.23, 2,183.22 and 633.66 is: 950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.23 : 2,183.22 = 633.66 : x
  2. Step 2: Convert to fraction form
    1,455.23/2,183.22 = 633.66/x
  3. Step 3: Cross multiply
    1,455.23x = 2,183.22 × 633.66
  4. Step 4: Simplify right side
    1,455.23x = 1,383,419.19
  5. Step 5: Solve for x
    x = 1,383,419.19/1,455.23
  6. Step 6: Final answer
    x = 950.66

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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.