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Finding the Fourth Proportional to 899.46, 1,247.04 and 850.32

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Solution

The fourth proportional to 899.46, 1,247.04 and 850.32 is: 1,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.46 : 1,247.04 = 850.32 : x
  2. Step 2: Convert to fraction form
    899.46/1,247.04 = 850.32/x
  3. Step 3: Cross multiply
    899.46x = 1,247.04 × 850.32
  4. Step 4: Simplify right side
    899.46x = 1,060,383.05
  5. Step 5: Solve for x
    x = 1,060,383.05/899.46
  6. Step 6: Final answer
    x = 1,178.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.