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Finding the Fourth Proportional to 698.46, 963.89 and 399.77

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Solution

The fourth proportional to 698.46, 963.89 and 399.77 is: 551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 963.89 = 399.77 : x
  2. Step 2: Convert to fraction form
    698.46/963.89 = 399.77/x
  3. Step 3: Cross multiply
    698.46x = 963.89 × 399.77
  4. Step 4: Simplify right side
    698.46x = 385,331.10
  5. Step 5: Solve for x
    x = 385,331.10/698.46
  6. Step 6: Final answer
    x = 551.69

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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.