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Finding the Fourth Proportional to 776.94, 1,072.17 and 427.62

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Solution

The fourth proportional to 776.94, 1,072.17 and 427.62 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.94 : 1,072.17 = 427.62 : x
  2. Step 2: Convert to fraction form
    776.94/1,072.17 = 427.62/x
  3. Step 3: Cross multiply
    776.94x = 1,072.17 × 427.62
  4. Step 4: Simplify right side
    776.94x = 458,481.34
  5. Step 5: Solve for x
    x = 458,481.34/776.94
  6. Step 6: Final answer
    x = 590.11

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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.