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Finding the Fourth Proportional to 721.64, 988.41 and 681.80

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Solution

The fourth proportional to 721.64, 988.41 and 681.80 is: 933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 988.41 = 681.80 : x
  2. Step 2: Convert to fraction form
    721.64/988.41 = 681.80/x
  3. Step 3: Cross multiply
    721.64x = 988.41 × 681.80
  4. Step 4: Simplify right side
    721.64x = 673,897.94
  5. Step 5: Solve for x
    x = 673,897.94/721.64
  6. Step 6: Final answer
    x = 933.84

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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.