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Finding the Fourth Proportional to 697.84, 963 and 403.15

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Solution

The fourth proportional to 697.84, 963 and 403.15 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 963 = 403.15 : x
  2. Step 2: Convert to fraction form
    697.84/963 = 403.15/x
  3. Step 3: Cross multiply
    697.84x = 963 × 403.15
  4. Step 4: Simplify right side
    697.84x = 388,233.45
  5. Step 5: Solve for x
    x = 388,233.45/697.84
  6. Step 6: Final answer
    x = 556.34

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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.