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Finding the Fourth Proportional to 697.92, 963.39 and 512.37

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Solution

The fourth proportional to 697.92, 963.39 and 512.37 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 963.39 = 512.37 : x
  2. Step 2: Convert to fraction form
    697.92/963.39 = 512.37/x
  3. Step 3: Cross multiply
    697.92x = 963.39 × 512.37
  4. Step 4: Simplify right side
    697.92x = 493,612.13
  5. Step 5: Solve for x
    x = 493,612.13/697.92
  6. Step 6: Final answer
    x = 707.26

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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.