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Finding the Fourth Proportional to 1,027.82, 1,542.53 and 411.59

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Solution

The fourth proportional to 1,027.82, 1,542.53 and 411.59 is: 617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,542.53 = 411.59 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,542.53 = 411.59/x
  3. Step 3: Cross multiply
    1,027.82x = 1,542.53 × 411.59
  4. Step 4: Simplify right side
    1,027.82x = 634,880.15
  5. Step 5: Solve for x
    x = 634,880.15/1,027.82
  6. Step 6: Final answer
    x = 617.70

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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.