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Finding the Fourth Proportional to 1,454.82, 2,182.23 and 633.69

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Solution

The fourth proportional to 1,454.82, 2,182.23 and 633.69 is: 950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.82 : 2,182.23 = 633.69 : x
  2. Step 2: Convert to fraction form
    1,454.82/2,182.23 = 633.69/x
  3. Step 3: Cross multiply
    1,454.82x = 2,182.23 × 633.69
  4. Step 4: Simplify right side
    1,454.82x = 1,382,857.33
  5. Step 5: Solve for x
    x = 1,382,857.33/1,454.82
  6. Step 6: Final answer
    x = 950.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.