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Finding the Fourth Proportional to 850.04, 1,271.66 and 735.73

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Solution

The fourth proportional to 850.04, 1,271.66 and 735.73 is: 1,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.04 : 1,271.66 = 735.73 : x
  2. Step 2: Convert to fraction form
    850.04/1,271.66 = 735.73/x
  3. Step 3: Cross multiply
    850.04x = 1,271.66 × 735.73
  4. Step 4: Simplify right side
    850.04x = 935,596.32
  5. Step 5: Solve for x
    x = 935,596.32/850.04
  6. Step 6: Final answer
    x = 1,100.65

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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.