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Finding the Fourth Proportional to 777.23, 1,072.44 and 441.12

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Solution

The fourth proportional to 777.23, 1,072.44 and 441.12 is: 608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.23 : 1,072.44 = 441.12 : x
  2. Step 2: Convert to fraction form
    777.23/1,072.44 = 441.12/x
  3. Step 3: Cross multiply
    777.23x = 1,072.44 × 441.12
  4. Step 4: Simplify right side
    777.23x = 473,074.73
  5. Step 5: Solve for x
    x = 473,074.73/777.23
  6. Step 6: Final answer
    x = 608.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.