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Finding the Fourth Proportional to 777.17, 1,072.46 and 445.35

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Solution

The fourth proportional to 777.17, 1,072.46 and 445.35 is: 614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.17 : 1,072.46 = 445.35 : x
  2. Step 2: Convert to fraction form
    777.17/1,072.46 = 445.35/x
  3. Step 3: Cross multiply
    777.17x = 1,072.46 × 445.35
  4. Step 4: Simplify right side
    777.17x = 477,620.06
  5. Step 5: Solve for x
    x = 477,620.06/777.17
  6. Step 6: Final answer
    x = 614.56

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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.