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Finding the Fourth Proportional to 777.41, 1,072.77 and 445.78

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Solution

The fourth proportional to 777.41, 1,072.77 and 445.78 is: 615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.41 : 1,072.77 = 445.78 : x
  2. Step 2: Convert to fraction form
    777.41/1,072.77 = 445.78/x
  3. Step 3: Cross multiply
    777.41x = 1,072.77 × 445.78
  4. Step 4: Simplify right side
    777.41x = 478,219.41
  5. Step 5: Solve for x
    x = 478,219.41/777.41
  6. Step 6: Final answer
    x = 615.14

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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.