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Finding the Fourth Proportional to 756.27, 1,043.71 and 461.60

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Solution

The fourth proportional to 756.27, 1,043.71 and 461.60 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.27 : 1,043.71 = 461.60 : x
  2. Step 2: Convert to fraction form
    756.27/1,043.71 = 461.60/x
  3. Step 3: Cross multiply
    756.27x = 1,043.71 × 461.60
  4. Step 4: Simplify right side
    756.27x = 481,770.16
  5. Step 5: Solve for x
    x = 481,770.16/756.27
  6. Step 6: Final answer
    x = 637.03

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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.