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Finding the Fourth Proportional to 695.58, 960.14 and 596.94

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Solution

The fourth proportional to 695.58, 960.14 and 596.94 is: 823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.58 : 960.14 = 596.94 : x
  2. Step 2: Convert to fraction form
    695.58/960.14 = 596.94/x
  3. Step 3: Cross multiply
    695.58x = 960.14 × 596.94
  4. Step 4: Simplify right side
    695.58x = 573,145.97
  5. Step 5: Solve for x
    x = 573,145.97/695.58
  6. Step 6: Final answer
    x = 823.98

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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.