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Finding the Fourth Proportional to 983.82, 1,357.21 and 610.68

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Solution

The fourth proportional to 983.82, 1,357.21 and 610.68 is: 842.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.82 : 1,357.21 = 610.68 : x
  2. Step 2: Convert to fraction form
    983.82/1,357.21 = 610.68/x
  3. Step 3: Cross multiply
    983.82x = 1,357.21 × 610.68
  4. Step 4: Simplify right side
    983.82x = 828,822.87
  5. Step 5: Solve for x
    x = 828,822.87/983.82
  6. Step 6: Final answer
    x = 842.45

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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.