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Finding the Fourth Proportional to 1,027.98, 1,540.89 and 450.18

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Solution

The fourth proportional to 1,027.98, 1,540.89 and 450.18 is: 674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,540.89 = 450.18 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,540.89 = 450.18/x
  3. Step 3: Cross multiply
    1,027.98x = 1,540.89 × 450.18
  4. Step 4: Simplify right side
    1,027.98x = 693,677.86
  5. Step 5: Solve for x
    x = 693,677.86/1,027.98
  6. Step 6: Final answer
    x = 674.80

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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.