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Finding the Fourth Proportional to 689.36, 952.62 and 523.28

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Solution

The fourth proportional to 689.36, 952.62 and 523.28 is: 723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.36 : 952.62 = 523.28 : x
  2. Step 2: Convert to fraction form
    689.36/952.62 = 523.28/x
  3. Step 3: Cross multiply
    689.36x = 952.62 × 523.28
  4. Step 4: Simplify right side
    689.36x = 498,486.99
  5. Step 5: Solve for x
    x = 498,486.99/689.36
  6. Step 6: Final answer
    x = 723.12

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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.