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Finding the Fourth Proportional to 776.14, 1,070.96 and 461.54

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Solution

The fourth proportional to 776.14, 1,070.96 and 461.54 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.14 : 1,070.96 = 461.54 : x
  2. Step 2: Convert to fraction form
    776.14/1,070.96 = 461.54/x
  3. Step 3: Cross multiply
    776.14x = 1,070.96 × 461.54
  4. Step 4: Simplify right side
    776.14x = 494,290.88
  5. Step 5: Solve for x
    x = 494,290.88/776.14
  6. Step 6: Final answer
    x = 636.86

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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.