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Finding the Fourth Proportional to 695.88, 958.14 and 596.16

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Solution

The fourth proportional to 695.88, 958.14 and 596.16 is: 820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.88 : 958.14 = 596.16 : x
  2. Step 2: Convert to fraction form
    695.88/958.14 = 596.16/x
  3. Step 3: Cross multiply
    695.88x = 958.14 × 596.16
  4. Step 4: Simplify right side
    695.88x = 571,204.74
  5. Step 5: Solve for x
    x = 571,204.74/695.88
  6. Step 6: Final answer
    x = 820.84

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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.