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Finding the Fourth Proportional to 1,456.29, 2,183.55 and 633.87

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Solution

The fourth proportional to 1,456.29, 2,183.55 and 633.87 is: 950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.29 : 2,183.55 = 633.87 : x
  2. Step 2: Convert to fraction form
    1,456.29/2,183.55 = 633.87/x
  3. Step 3: Cross multiply
    1,456.29x = 2,183.55 × 633.87
  4. Step 4: Simplify right side
    1,456.29x = 1,384,086.84
  5. Step 5: Solve for x
    x = 1,384,086.84/1,456.29
  6. Step 6: Final answer
    x = 950.42

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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.