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Finding the Fourth Proportional to 698.04, 963.43 and 461.99

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Solution

The fourth proportional to 698.04, 963.43 and 461.99 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 963.43 = 461.99 : x
  2. Step 2: Convert to fraction form
    698.04/963.43 = 461.99/x
  3. Step 3: Cross multiply
    698.04x = 963.43 × 461.99
  4. Step 4: Simplify right side
    698.04x = 445,097.43
  5. Step 5: Solve for x
    x = 445,097.43/698.04
  6. Step 6: Final answer
    x = 637.64

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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.