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Finding the Fourth Proportional to 982.57, 1,357.00 and 610.43

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Solution

The fourth proportional to 982.57, 1,357.00 and 610.43 is: 843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.57 : 1,357.00 = 610.43 : x
  2. Step 2: Convert to fraction form
    982.57/1,357.00 = 610.43/x
  3. Step 3: Cross multiply
    982.57x = 1,357.00 × 610.43
  4. Step 4: Simplify right side
    982.57x = 828,350.29
  5. Step 5: Solve for x
    x = 828,350.29/982.57
  6. Step 6: Final answer
    x = 843.05

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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.