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Finding the Fourth Proportional to 959.20, 1,438.73 and 265.85

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Solution

The fourth proportional to 959.20, 1,438.73 and 265.85 is: 398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.20 : 1,438.73 = 265.85 : x
  2. Step 2: Convert to fraction form
    959.20/1,438.73 = 265.85/x
  3. Step 3: Cross multiply
    959.20x = 1,438.73 × 265.85
  4. Step 4: Simplify right side
    959.20x = 382,486.37
  5. Step 5: Solve for x
    x = 382,486.37/959.20
  6. Step 6: Final answer
    x = 398.76

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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.