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Finding the Fourth Proportional to 1,027.93, 1,542.14 and 411.73

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Solution

The fourth proportional to 1,027.93, 1,542.14 and 411.73 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.93 : 1,542.14 = 411.73 : x
  2. Step 2: Convert to fraction form
    1,027.93/1,542.14 = 411.73/x
  3. Step 3: Cross multiply
    1,027.93x = 1,542.14 × 411.73
  4. Step 4: Simplify right side
    1,027.93x = 634,945.30
  5. Step 5: Solve for x
    x = 634,945.30/1,027.93
  6. Step 6: Final answer
    x = 617.69

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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.