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Finding the Fourth Proportional to 757.88, 1,046.06 and 463.39

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Solution

The fourth proportional to 757.88, 1,046.06 and 463.39 is: 639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.88 : 1,046.06 = 463.39 : x
  2. Step 2: Convert to fraction form
    757.88/1,046.06 = 463.39/x
  3. Step 3: Cross multiply
    757.88x = 1,046.06 × 463.39
  4. Step 4: Simplify right side
    757.88x = 484,732.73
  5. Step 5: Solve for x
    x = 484,732.73/757.88
  6. Step 6: Final answer
    x = 639.59

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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.