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Finding the Fourth Proportional to 959.94, 1,439.78 and 343.48

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Solution

The fourth proportional to 959.94, 1,439.78 and 343.48 is: 515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.94 : 1,439.78 = 343.48 : x
  2. Step 2: Convert to fraction form
    959.94/1,439.78 = 343.48/x
  3. Step 3: Cross multiply
    959.94x = 1,439.78 × 343.48
  4. Step 4: Simplify right side
    959.94x = 494,535.63
  5. Step 5: Solve for x
    x = 494,535.63/959.94
  6. Step 6: Final answer
    x = 515.17

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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.