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Finding the Fourth Proportional to 698.25, 963.63 and 387.75

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Solution

The fourth proportional to 698.25, 963.63 and 387.75 is: 535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.25 : 963.63 = 387.75 : x
  2. Step 2: Convert to fraction form
    698.25/963.63 = 387.75/x
  3. Step 3: Cross multiply
    698.25x = 963.63 × 387.75
  4. Step 4: Simplify right side
    698.25x = 373,647.53
  5. Step 5: Solve for x
    x = 373,647.53/698.25
  6. Step 6: Final answer
    x = 535.12

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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.