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Finding the Fourth Proportional to 755.85, 1,043.15 and 461.15

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Solution

The fourth proportional to 755.85, 1,043.15 and 461.15 is: 636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.85 : 1,043.15 = 461.15 : x
  2. Step 2: Convert to fraction form
    755.85/1,043.15 = 461.15/x
  3. Step 3: Cross multiply
    755.85x = 1,043.15 × 461.15
  4. Step 4: Simplify right side
    755.85x = 481,041.10
  5. Step 5: Solve for x
    x = 481,041.10/755.85
  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.