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Finding the Fourth Proportional to 776.24, 1,070.85 and 461.33

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Solution

The fourth proportional to 776.24, 1,070.85 and 461.33 is: 636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.24 : 1,070.85 = 461.33 : x
  2. Step 2: Convert to fraction form
    776.24/1,070.85 = 461.33/x
  3. Step 3: Cross multiply
    776.24x = 1,070.85 × 461.33
  4. Step 4: Simplify right side
    776.24x = 494,015.62
  5. Step 5: Solve for x
    x = 494,015.62/776.24
  6. Step 6: Final answer
    x = 636.42

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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.