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Finding the Fourth Proportional to 959.91, 1,440.09 and 343.75

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Solution

The fourth proportional to 959.91, 1,440.09 and 343.75 is: 515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.91 : 1,440.09 = 343.75 : x
  2. Step 2: Convert to fraction form
    959.91/1,440.09 = 343.75/x
  3. Step 3: Cross multiply
    959.91x = 1,440.09 × 343.75
  4. Step 4: Simplify right side
    959.91x = 495,026.05
  5. Step 5: Solve for x
    x = 495,026.05/959.91
  6. Step 6: Final answer
    x = 515.70

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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.