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Finding the Fourth Proportional to 982.14, 1,471.38 and 829.02

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Solution

The fourth proportional to 982.14, 1,471.38 and 829.02 is: 1,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.14 : 1,471.38 = 829.02 : x
  2. Step 2: Convert to fraction form
    982.14/1,471.38 = 829.02/x
  3. Step 3: Cross multiply
    982.14x = 1,471.38 × 829.02
  4. Step 4: Simplify right side
    982.14x = 1,219,803.45
  5. Step 5: Solve for x
    x = 1,219,803.45/982.14
  6. Step 6: Final answer
    x = 1,241.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.