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Finding the Fourth Proportional to 776.98, 1,072.10 and 462.12

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Solution

The fourth proportional to 776.98, 1,072.10 and 462.12 is: 637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.98 : 1,072.10 = 462.12 : x
  2. Step 2: Convert to fraction form
    776.98/1,072.10 = 462.12/x
  3. Step 3: Cross multiply
    776.98x = 1,072.10 × 462.12
  4. Step 4: Simplify right side
    776.98x = 495,438.85
  5. Step 5: Solve for x
    x = 495,438.85/776.98
  6. Step 6: Final answer
    x = 637.65

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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.