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Finding the Fourth Proportional to 776.97, 1,072.07 and 462.31

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Solution

The fourth proportional to 776.97, 1,072.07 and 462.31 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.97 : 1,072.07 = 462.31 : x
  2. Step 2: Convert to fraction form
    776.97/1,072.07 = 462.31/x
  3. Step 3: Cross multiply
    776.97x = 1,072.07 × 462.31
  4. Step 4: Simplify right side
    776.97x = 495,628.68
  5. Step 5: Solve for x
    x = 495,628.68/776.97
  6. Step 6: Final answer
    x = 637.90

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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.