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Finding the Fourth Proportional to 776.99, 1,072.26 and 445.52

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Solution

The fourth proportional to 776.99, 1,072.26 and 445.52 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.99 : 1,072.26 = 445.52 : x
  2. Step 2: Convert to fraction form
    776.99/1,072.26 = 445.52/x
  3. Step 3: Cross multiply
    776.99x = 1,072.26 × 445.52
  4. Step 4: Simplify right side
    776.99x = 477,705.69
  5. Step 5: Solve for x
    x = 477,705.69/776.99
  6. Step 6: Final answer
    x = 614.82

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