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Finding the Fourth Proportional to 961.49, 1,439.88 and 613.80

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Solution

The fourth proportional to 961.49, 1,439.88 and 613.80 is: 919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.49 : 1,439.88 = 613.80 : x
  2. Step 2: Convert to fraction form
    961.49/1,439.88 = 613.80/x
  3. Step 3: Cross multiply
    961.49x = 1,439.88 × 613.80
  4. Step 4: Simplify right side
    961.49x = 883,796.04
  5. Step 5: Solve for x
    x = 883,796.04/961.49
  6. Step 6: Final answer
    x = 919.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.