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Finding the Fourth Proportional to 982.37, 1,472.74 and 673.47

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Solution

The fourth proportional to 982.37, 1,472.74 and 673.47 is: 1,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.37 : 1,472.74 = 673.47 : x
  2. Step 2: Convert to fraction form
    982.37/1,472.74 = 673.47/x
  3. Step 3: Cross multiply
    982.37x = 1,472.74 × 673.47
  4. Step 4: Simplify right side
    982.37x = 991,844.52
  5. Step 5: Solve for x
    x = 991,844.52/982.37
  6. Step 6: Final answer
    x = 1,009.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.