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Finding the Fourth Proportional to 634.72, 947.79 and 519.39

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Solution

The fourth proportional to 634.72, 947.79 and 519.39 is: 775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.72 : 947.79 = 519.39 : x
  2. Step 2: Convert to fraction form
    634.72/947.79 = 519.39/x
  3. Step 3: Cross multiply
    634.72x = 947.79 × 519.39
  4. Step 4: Simplify right side
    634.72x = 492,265.31
  5. Step 5: Solve for x
    x = 492,265.31/634.72
  6. Step 6: Final answer
    x = 775.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.