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Finding the Fourth Proportional to 982.83, 1,471.06 and 722.77

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Solution

The fourth proportional to 982.83, 1,471.06 and 722.77 is: 1,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.83 : 1,471.06 = 722.77 : x
  2. Step 2: Convert to fraction form
    982.83/1,471.06 = 722.77/x
  3. Step 3: Cross multiply
    982.83x = 1,471.06 × 722.77
  4. Step 4: Simplify right side
    982.83x = 1,063,243.54
  5. Step 5: Solve for x
    x = 1,063,243.54/982.83
  6. Step 6: Final answer
    x = 1,081.81

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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.