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Finding the Fourth Proportional to 697.77, 963.11 and 403.09

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Solution

The fourth proportional to 697.77, 963.11 and 403.09 is: 556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.77 : 963.11 = 403.09 : x
  2. Step 2: Convert to fraction form
    697.77/963.11 = 403.09/x
  3. Step 3: Cross multiply
    697.77x = 963.11 × 403.09
  4. Step 4: Simplify right side
    697.77x = 388,220.01
  5. Step 5: Solve for x
    x = 388,220.01/697.77
  6. Step 6: Final answer
    x = 556.37

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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.