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Finding the Fourth Proportional to 706.68, 967.05 and 691.56

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Solution

The fourth proportional to 706.68, 967.05 and 691.56 is: 946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 967.05 = 691.56 : x
  2. Step 2: Convert to fraction form
    706.68/967.05 = 691.56/x
  3. Step 3: Cross multiply
    706.68x = 967.05 × 691.56
  4. Step 4: Simplify right side
    706.68x = 668,773.10
  5. Step 5: Solve for x
    x = 668,773.10/706.68
  6. Step 6: Final answer
    x = 946.36

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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.