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Finding the Fourth Proportional to 705.59, 967.37 and 694.83

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Solution

The fourth proportional to 705.59, 967.37 and 694.83 is: 952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.59 : 967.37 = 694.83 : x
  2. Step 2: Convert to fraction form
    705.59/967.37 = 694.83/x
  3. Step 3: Cross multiply
    705.59x = 967.37 × 694.83
  4. Step 4: Simplify right side
    705.59x = 672,159.43
  5. Step 5: Solve for x
    x = 672,159.43/705.59
  6. Step 6: Final answer
    x = 952.63

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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.