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Finding the Fourth Proportional to 757.52, 1,046.45 and 721.07

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Solution

The fourth proportional to 757.52, 1,046.45 and 721.07 is: 996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.52 : 1,046.45 = 721.07 : x
  2. Step 2: Convert to fraction form
    757.52/1,046.45 = 721.07/x
  3. Step 3: Cross multiply
    757.52x = 1,046.45 × 721.07
  4. Step 4: Simplify right side
    757.52x = 754,554.86
  5. Step 5: Solve for x
    x = 754,554.86/757.52
  6. Step 6: Final answer
    x = 996.09

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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.