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Finding the Fourth Proportional to 634.26, 949.83 and 523.89

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Solution

The fourth proportional to 634.26, 949.83 and 523.89 is: 784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.26 : 949.83 = 523.89 : x
  2. Step 2: Convert to fraction form
    634.26/949.83 = 523.89/x
  3. Step 3: Cross multiply
    634.26x = 949.83 × 523.89
  4. Step 4: Simplify right side
    634.26x = 497,603.82
  5. Step 5: Solve for x
    x = 497,603.82/634.26
  6. Step 6: Final answer
    x = 784.55

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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.