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Finding the Fourth Proportional to 865.94, 1,299.06 and 475.73

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Solution

The fourth proportional to 865.94, 1,299.06 and 475.73 is: 713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,299.06 = 475.73 : x
  2. Step 2: Convert to fraction form
    865.94/1,299.06 = 475.73/x
  3. Step 3: Cross multiply
    865.94x = 1,299.06 × 475.73
  4. Step 4: Simplify right side
    865.94x = 617,995.32
  5. Step 5: Solve for x
    x = 617,995.32/865.94
  6. Step 6: Final answer
    x = 713.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.