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Finding the Fourth Proportional to 694.68, 959.84 and 497.80

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Solution

The fourth proportional to 694.68, 959.84 and 497.80 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.68 : 959.84 = 497.80 : x
  2. Step 2: Convert to fraction form
    694.68/959.84 = 497.80/x
  3. Step 3: Cross multiply
    694.68x = 959.84 × 497.80
  4. Step 4: Simplify right side
    694.68x = 477,808.35
  5. Step 5: Solve for x
    x = 477,808.35/694.68
  6. Step 6: Final answer
    x = 687.81

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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.