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Finding the Fourth Proportional to 698.61, 963.97 and 403.83

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Solution

The fourth proportional to 698.61, 963.97 and 403.83 is: 557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 963.97 = 403.83 : x
  2. Step 2: Convert to fraction form
    698.61/963.97 = 403.83/x
  3. Step 3: Cross multiply
    698.61x = 963.97 × 403.83
  4. Step 4: Simplify right side
    698.61x = 389,280.01
  5. Step 5: Solve for x
    x = 389,280.01/698.61
  6. Step 6: Final answer
    x = 557.22

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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.