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Finding the Fourth Proportional to 982.23, 1,356.67 and 734.64

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Solution

The fourth proportional to 982.23, 1,356.67 and 734.64 is: 1,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.23 : 1,356.67 = 734.64 : x
  2. Step 2: Convert to fraction form
    982.23/1,356.67 = 734.64/x
  3. Step 3: Cross multiply
    982.23x = 1,356.67 × 734.64
  4. Step 4: Simplify right side
    982.23x = 996,664.05
  5. Step 5: Solve for x
    x = 996,664.05/982.23
  6. Step 6: Final answer
    x = 1,014.70

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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.