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Finding the Fourth Proportional to 983.96, 1,357.86 and 610.82

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Solution

The fourth proportional to 983.96, 1,357.86 and 610.82 is: 842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.96 : 1,357.86 = 610.82 : x
  2. Step 2: Convert to fraction form
    983.96/1,357.86 = 610.82/x
  3. Step 3: Cross multiply
    983.96x = 1,357.86 × 610.82
  4. Step 4: Simplify right side
    983.96x = 829,408.05
  5. Step 5: Solve for x
    x = 829,408.05/983.96
  6. Step 6: Final answer
    x = 842.93

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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.