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Finding the Fourth Proportional to 698.69, 964.05 and 399.92

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Solution

The fourth proportional to 698.69, 964.05 and 399.92 is: 551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.69 : 964.05 = 399.92 : x
  2. Step 2: Convert to fraction form
    698.69/964.05 = 399.92/x
  3. Step 3: Cross multiply
    698.69x = 964.05 × 399.92
  4. Step 4: Simplify right side
    698.69x = 385,542.88
  5. Step 5: Solve for x
    x = 385,542.88/698.69
  6. Step 6: Final answer
    x = 551.81

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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.