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Finding the Fourth Proportional to 698.35, 963.73 and 403.61

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Solution

The fourth proportional to 698.35, 963.73 and 403.61 is: 556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.35 : 963.73 = 403.61 : x
  2. Step 2: Convert to fraction form
    698.35/963.73 = 403.61/x
  3. Step 3: Cross multiply
    698.35x = 963.73 × 403.61
  4. Step 4: Simplify right side
    698.35x = 388,972.17
  5. Step 5: Solve for x
    x = 388,972.17/698.35
  6. Step 6: Final answer
    x = 556.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.