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Finding the Fourth Proportional to 1,005.05, 1,504.85 and 850.14

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Solution

The fourth proportional to 1,005.05, 1,504.85 and 850.14 is: 1,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.05 : 1,504.85 = 850.14 : x
  2. Step 2: Convert to fraction form
    1,005.05/1,504.85 = 850.14/x
  3. Step 3: Cross multiply
    1,005.05x = 1,504.85 × 850.14
  4. Step 4: Simplify right side
    1,005.05x = 1,279,328.93
  5. Step 5: Solve for x
    x = 1,279,328.93/1,005.05
  6. Step 6: Final answer
    x = 1,272.90

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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.