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Finding the Fourth Proportional to 858.92, 1,185.59 and 610.96

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Solution

The fourth proportional to 858.92, 1,185.59 and 610.96 is: 843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.92 : 1,185.59 = 610.96 : x
  2. Step 2: Convert to fraction form
    858.92/1,185.59 = 610.96/x
  3. Step 3: Cross multiply
    858.92x = 1,185.59 × 610.96
  4. Step 4: Simplify right side
    858.92x = 724,348.07
  5. Step 5: Solve for x
    x = 724,348.07/858.92
  6. Step 6: Final answer
    x = 843.32

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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.