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Finding the Fourth Proportional to 851.22, 1,275.39 and 658.26

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Solution

The fourth proportional to 851.22, 1,275.39 and 658.26 is: 986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.22 : 1,275.39 = 658.26 : x
  2. Step 2: Convert to fraction form
    851.22/1,275.39 = 658.26/x
  3. Step 3: Cross multiply
    851.22x = 1,275.39 × 658.26
  4. Step 4: Simplify right side
    851.22x = 839,538.22
  5. Step 5: Solve for x
    x = 839,538.22/851.22
  6. Step 6: Final answer
    x = 986.28

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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.