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Finding the Fourth Proportional to 982.22, 1,356.64 and 852.84

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Solution

The fourth proportional to 982.22, 1,356.64 and 852.84 is: 1,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.22 : 1,356.64 = 852.84 : x
  2. Step 2: Convert to fraction form
    982.22/1,356.64 = 852.84/x
  3. Step 3: Cross multiply
    982.22x = 1,356.64 × 852.84
  4. Step 4: Simplify right side
    982.22x = 1,156,994.73
  5. Step 5: Solve for x
    x = 1,156,994.73/982.22
  6. Step 6: Final answer
    x = 1,177.94

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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.