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Finding the Fourth Proportional to 986.28, 1,476.83 and 829.73

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Solution

The fourth proportional to 986.28, 1,476.83 and 829.73 is: 1,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.28 : 1,476.83 = 829.73 : x
  2. Step 2: Convert to fraction form
    986.28/1,476.83 = 829.73/x
  3. Step 3: Cross multiply
    986.28x = 1,476.83 × 829.73
  4. Step 4: Simplify right side
    986.28x = 1,225,358.62
  5. Step 5: Solve for x
    x = 1,225,358.62/986.28
  6. Step 6: Final answer
    x = 1,242.40

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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.