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Finding the Fourth Proportional to 851.72, 1,173.96 and 701.73

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Solution

The fourth proportional to 851.72, 1,173.96 and 701.73 is: 967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.72 : 1,173.96 = 701.73 : x
  2. Step 2: Convert to fraction form
    851.72/1,173.96 = 701.73/x
  3. Step 3: Cross multiply
    851.72x = 1,173.96 × 701.73
  4. Step 4: Simplify right side
    851.72x = 823,802.95
  5. Step 5: Solve for x
    x = 823,802.95/851.72
  6. Step 6: Final answer
    x = 967.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.