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Finding the Fourth Proportional to 1,454.44, 2,182.20 and 804.28

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Solution

The fourth proportional to 1,454.44, 2,182.20 and 804.28 is: 1,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.44 : 2,182.20 = 804.28 : x
  2. Step 2: Convert to fraction form
    1,454.44/2,182.20 = 804.28/x
  3. Step 3: Cross multiply
    1,454.44x = 2,182.20 × 804.28
  4. Step 4: Simplify right side
    1,454.44x = 1,755,099.82
  5. Step 5: Solve for x
    x = 1,755,099.82/1,454.44
  6. Step 6: Final answer
    x = 1,206.72

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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.