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Finding the Fourth Proportional to 851.97, 1,176.89 and 722.37

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Solution

The fourth proportional to 851.97, 1,176.89 and 722.37 is: 997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,176.89 = 722.37 : x
  2. Step 2: Convert to fraction form
    851.97/1,176.89 = 722.37/x
  3. Step 3: Cross multiply
    851.97x = 1,176.89 × 722.37
  4. Step 4: Simplify right side
    851.97x = 850,146.42
  5. Step 5: Solve for x
    x = 850,146.42/851.97
  6. Step 6: Final answer
    x = 997.86

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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.