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Finding the Fourth Proportional to 756.42, 1,044.09 and 461.82

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Solution

The fourth proportional to 756.42, 1,044.09 and 461.82 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.42 : 1,044.09 = 461.82 : x
  2. Step 2: Convert to fraction form
    756.42/1,044.09 = 461.82/x
  3. Step 3: Cross multiply
    756.42x = 1,044.09 × 461.82
  4. Step 4: Simplify right side
    756.42x = 482,181.64
  5. Step 5: Solve for x
    x = 482,181.64/756.42
  6. Step 6: Final answer
    x = 637.45

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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.