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Finding the Fourth Proportional to 959.26, 1,438.17 and 496.42

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Solution

The fourth proportional to 959.26, 1,438.17 and 496.42 is: 744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.26 : 1,438.17 = 496.42 : x
  2. Step 2: Convert to fraction form
    959.26/1,438.17 = 496.42/x
  3. Step 3: Cross multiply
    959.26x = 1,438.17 × 496.42
  4. Step 4: Simplify right side
    959.26x = 713,936.35
  5. Step 5: Solve for x
    x = 713,936.35/959.26
  6. Step 6: Final answer
    x = 744.26

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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.