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Finding the Fourth Proportional to 1,027.44, 1,540.84 and 450.16

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Solution

The fourth proportional to 1,027.44, 1,540.84 and 450.16 is: 675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.44 : 1,540.84 = 450.16 : x
  2. Step 2: Convert to fraction form
    1,027.44/1,540.84 = 450.16/x
  3. Step 3: Cross multiply
    1,027.44x = 1,540.84 × 450.16
  4. Step 4: Simplify right side
    1,027.44x = 693,624.53
  5. Step 5: Solve for x
    x = 693,624.53/1,027.44
  6. Step 6: Final answer
    x = 675.10

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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.