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Finding the Fourth Proportional to 777.25, 1,072.61 and 427.96

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Solution

The fourth proportional to 777.25, 1,072.61 and 427.96 is: 590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.25 : 1,072.61 = 427.96 : x
  2. Step 2: Convert to fraction form
    777.25/1,072.61 = 427.96/x
  3. Step 3: Cross multiply
    777.25x = 1,072.61 × 427.96
  4. Step 4: Simplify right side
    777.25x = 459,034.18
  5. Step 5: Solve for x
    x = 459,034.18/777.25
  6. Step 6: Final answer
    x = 590.59

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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.