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Finding the Fourth Proportional to 983.14, 1,357.36 and 610.47

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Solution

The fourth proportional to 983.14, 1,357.36 and 610.47 is: 842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.14 : 1,357.36 = 610.47 : x
  2. Step 2: Convert to fraction form
    983.14/1,357.36 = 610.47/x
  3. Step 3: Cross multiply
    983.14x = 1,357.36 × 610.47
  4. Step 4: Simplify right side
    983.14x = 828,626.03
  5. Step 5: Solve for x
    x = 828,626.03/983.14
  6. Step 6: Final answer
    x = 842.84

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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.