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Finding the Fourth Proportional to 982.71, 1,476.11 and 836.41

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Solution

The fourth proportional to 982.71, 1,476.11 and 836.41 is: 1,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.71 : 1,476.11 = 836.41 : x
  2. Step 2: Convert to fraction form
    982.71/1,476.11 = 836.41/x
  3. Step 3: Cross multiply
    982.71x = 1,476.11 × 836.41
  4. Step 4: Simplify right side
    982.71x = 1,234,633.17
  5. Step 5: Solve for x
    x = 1,234,633.17/982.71
  6. Step 6: Final answer
    x = 1,256.36

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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.