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Finding the Fourth Proportional to 689.30, 951.09 and 523.22

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Solution

The fourth proportional to 689.30, 951.09 and 523.22 is: 721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.30 : 951.09 = 523.22 : x
  2. Step 2: Convert to fraction form
    689.30/951.09 = 523.22/x
  3. Step 3: Cross multiply
    689.30x = 951.09 × 523.22
  4. Step 4: Simplify right side
    689.30x = 497,629.31
  5. Step 5: Solve for x
    x = 497,629.31/689.30
  6. Step 6: Final answer
    x = 721.93

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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.