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Finding the Fourth Proportional to 776.80, 1,072.07 and 462.14

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Solution

The fourth proportional to 776.80, 1,072.07 and 462.14 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.80 : 1,072.07 = 462.14 : x
  2. Step 2: Convert to fraction form
    776.80/1,072.07 = 462.14/x
  3. Step 3: Cross multiply
    776.80x = 1,072.07 × 462.14
  4. Step 4: Simplify right side
    776.80x = 495,446.43
  5. Step 5: Solve for x
    x = 495,446.43/776.80
  6. Step 6: Final answer
    x = 637.80

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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.