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Finding the Fourth Proportional to 694.88, 953.92 and 596.47

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Solution

The fourth proportional to 694.88, 953.92 and 596.47 is: 818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.88 : 953.92 = 596.47 : x
  2. Step 2: Convert to fraction form
    694.88/953.92 = 596.47/x
  3. Step 3: Cross multiply
    694.88x = 953.92 × 596.47
  4. Step 4: Simplify right side
    694.88x = 568,980.79
  5. Step 5: Solve for x
    x = 568,980.79/694.88
  6. Step 6: Final answer
    x = 818.82

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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.