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Finding the Fourth Proportional to 1,118.09, 1,542.99 and 620.73

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Solution

The fourth proportional to 1,118.09, 1,542.99 and 620.73 is: 856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.09 : 1,542.99 = 620.73 : x
  2. Step 2: Convert to fraction form
    1,118.09/1,542.99 = 620.73/x
  3. Step 3: Cross multiply
    1,118.09x = 1,542.99 × 620.73
  4. Step 4: Simplify right side
    1,118.09x = 957,774.02
  5. Step 5: Solve for x
    x = 957,774.02/1,118.09
  6. Step 6: Final answer
    x = 856.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.