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Finding the Fourth Proportional to 697.88, 963.06 and 403.14

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Solution

The fourth proportional to 697.88, 963.06 and 403.14 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 963.06 = 403.14 : x
  2. Step 2: Convert to fraction form
    697.88/963.06 = 403.14/x
  3. Step 3: Cross multiply
    697.88x = 963.06 × 403.14
  4. Step 4: Simplify right side
    697.88x = 388,250.11
  5. Step 5: Solve for x
    x = 388,250.11/697.88
  6. Step 6: Final answer
    x = 556.33

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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.