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Finding the Fourth Proportional to 776.97, 1,072.24 and 427.66

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Solution

The fourth proportional to 776.97, 1,072.24 and 427.66 is: 590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.97 : 1,072.24 = 427.66 : x
  2. Step 2: Convert to fraction form
    776.97/1,072.24 = 427.66/x
  3. Step 3: Cross multiply
    776.97x = 1,072.24 × 427.66
  4. Step 4: Simplify right side
    776.97x = 458,550.41
  5. Step 5: Solve for x
    x = 458,550.41/776.97
  6. Step 6: Final answer
    x = 590.18

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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.