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Finding the Fourth Proportional to 850.12, 1,273.02 and 590.92

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Solution

The fourth proportional to 850.12, 1,273.02 and 590.92 is: 884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.12 : 1,273.02 = 590.92 : x
  2. Step 2: Convert to fraction form
    850.12/1,273.02 = 590.92/x
  3. Step 3: Cross multiply
    850.12x = 1,273.02 × 590.92
  4. Step 4: Simplify right side
    850.12x = 752,252.98
  5. Step 5: Solve for x
    x = 752,252.98/850.12
  6. Step 6: Final answer
    x = 884.88

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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.