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Finding the Fourth Proportional to 697.87, 963.04 and 449.25

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Solution

The fourth proportional to 697.87, 963.04 and 449.25 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 963.04 = 449.25 : x
  2. Step 2: Convert to fraction form
    697.87/963.04 = 449.25/x
  3. Step 3: Cross multiply
    697.87x = 963.04 × 449.25
  4. Step 4: Simplify right side
    697.87x = 432,641.83
  5. Step 5: Solve for x
    x = 432,641.83/697.87
  6. Step 6: Final answer
    x = 619.95

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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.