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Finding the Fourth Proportional to 983.94, 1,357.41 and 610.65

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Solution

The fourth proportional to 983.94, 1,357.41 and 610.65 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.94 : 1,357.41 = 610.65 : x
  2. Step 2: Convert to fraction form
    983.94/1,357.41 = 610.65/x
  3. Step 3: Cross multiply
    983.94x = 1,357.41 × 610.65
  4. Step 4: Simplify right side
    983.94x = 828,902.42
  5. Step 5: Solve for x
    x = 828,902.42/983.94
  6. Step 6: Final answer
    x = 842.43

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