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Finding the Fourth Proportional to 711.34, 985.45 and 694.33

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Solution

The fourth proportional to 711.34, 985.45 and 694.33 is: 961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.34 : 985.45 = 694.33 : x
  2. Step 2: Convert to fraction form
    711.34/985.45 = 694.33/x
  3. Step 3: Cross multiply
    711.34x = 985.45 × 694.33
  4. Step 4: Simplify right side
    711.34x = 684,227.50
  5. Step 5: Solve for x
    x = 684,227.50/711.34
  6. Step 6: Final answer
    x = 961.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.