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Finding the Fourth Proportional to 694.13, 952.89 and 595.72

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Solution

The fourth proportional to 694.13, 952.89 and 595.72 is: 817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.13 : 952.89 = 595.72 : x
  2. Step 2: Convert to fraction form
    694.13/952.89 = 595.72/x
  3. Step 3: Cross multiply
    694.13x = 952.89 × 595.72
  4. Step 4: Simplify right side
    694.13x = 567,653.25
  5. Step 5: Solve for x
    x = 567,653.25/694.13
  6. Step 6: Final answer
    x = 817.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.