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Finding the Fourth Proportional to 756.46, 1,043.72 and 461.71

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Solution

The fourth proportional to 756.46, 1,043.72 and 461.71 is: 637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.46 : 1,043.72 = 461.71 : x
  2. Step 2: Convert to fraction form
    756.46/1,043.72 = 461.71/x
  3. Step 3: Cross multiply
    756.46x = 1,043.72 × 461.71
  4. Step 4: Simplify right side
    756.46x = 481,893.65
  5. Step 5: Solve for x
    x = 481,893.65/756.46
  6. Step 6: Final answer
    x = 637.04

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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.