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Finding the Fourth Proportional to 777.09, 1,072.41 and 427.78

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Solution

The fourth proportional to 777.09, 1,072.41 and 427.78 is: 590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,072.41 = 427.78 : x
  2. Step 2: Convert to fraction form
    777.09/1,072.41 = 427.78/x
  3. Step 3: Cross multiply
    777.09x = 1,072.41 × 427.78
  4. Step 4: Simplify right side
    777.09x = 458,758.90
  5. Step 5: Solve for x
    x = 458,758.90/777.09
  6. Step 6: Final answer
    x = 590.35

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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.