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Finding the Fourth Proportional to 1,027.99, 1,543.20 and 451.27

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Solution

The fourth proportional to 1,027.99, 1,543.20 and 451.27 is: 677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.99 : 1,543.20 = 451.27 : x
  2. Step 2: Convert to fraction form
    1,027.99/1,543.20 = 451.27/x
  3. Step 3: Cross multiply
    1,027.99x = 1,543.20 × 451.27
  4. Step 4: Simplify right side
    1,027.99x = 696,399.86
  5. Step 5: Solve for x
    x = 696,399.86/1,027.99
  6. Step 6: Final answer
    x = 677.44

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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.