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Finding the Fourth Proportional to 959.37, 1,440.66 and 838.68

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Solution

The fourth proportional to 959.37, 1,440.66 and 838.68 is: 1,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.37 : 1,440.66 = 838.68 : x
  2. Step 2: Convert to fraction form
    959.37/1,440.66 = 838.68/x
  3. Step 3: Cross multiply
    959.37x = 1,440.66 × 838.68
  4. Step 4: Simplify right side
    959.37x = 1,208,252.73
  5. Step 5: Solve for x
    x = 1,208,252.73/959.37
  6. Step 6: Final answer
    x = 1,259.42

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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.