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Finding the Fourth Proportional to 776.07, 1,070.73 and 461.43

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Solution

The fourth proportional to 776.07, 1,070.73 and 461.43 is: 636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.07 : 1,070.73 = 461.43 : x
  2. Step 2: Convert to fraction form
    776.07/1,070.73 = 461.43/x
  3. Step 3: Cross multiply
    776.07x = 1,070.73 × 461.43
  4. Step 4: Simplify right side
    776.07x = 494,066.94
  5. Step 5: Solve for x
    x = 494,066.94/776.07
  6. Step 6: Final answer
    x = 636.63

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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.