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Finding the Fourth Proportional to 715.74, 1,072.26 and 441.96

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Solution

The fourth proportional to 715.74, 1,072.26 and 441.96 is: 662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.74 : 1,072.26 = 441.96 : x
  2. Step 2: Convert to fraction form
    715.74/1,072.26 = 441.96/x
  3. Step 3: Cross multiply
    715.74x = 1,072.26 × 441.96
  4. Step 4: Simplify right side
    715.74x = 473,896.03
  5. Step 5: Solve for x
    x = 473,896.03/715.74
  6. Step 6: Final answer
    x = 662.11

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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.