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Finding the Fourth Proportional to 698.67, 965.21 and 541.94

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Solution

The fourth proportional to 698.67, 965.21 and 541.94 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.67 : 965.21 = 541.94 : x
  2. Step 2: Convert to fraction form
    698.67/965.21 = 541.94/x
  3. Step 3: Cross multiply
    698.67x = 965.21 × 541.94
  4. Step 4: Simplify right side
    698.67x = 523,078.37
  5. Step 5: Solve for x
    x = 523,078.37/698.67
  6. Step 6: Final answer
    x = 748.68

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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.