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Finding the Fourth Proportional to 777.17, 1,072.44 and 445.52

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Solution

The fourth proportional to 777.17, 1,072.44 and 445.52 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.17 : 1,072.44 = 445.52 : x
  2. Step 2: Convert to fraction form
    777.17/1,072.44 = 445.52/x
  3. Step 3: Cross multiply
    777.17x = 1,072.44 × 445.52
  4. Step 4: Simplify right side
    777.17x = 477,788.11
  5. Step 5: Solve for x
    x = 477,788.11/777.17
  6. Step 6: Final answer
    x = 614.78

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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.