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Finding the Fourth Proportional to 634.70, 950.81 and 565.90

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Solution

The fourth proportional to 634.70, 950.81 and 565.90 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.70 : 950.81 = 565.90 : x
  2. Step 2: Convert to fraction form
    634.70/950.81 = 565.90/x
  3. Step 3: Cross multiply
    634.70x = 950.81 × 565.90
  4. Step 4: Simplify right side
    634.70x = 538,063.38
  5. Step 5: Solve for x
    x = 538,063.38/634.70
  6. Step 6: Final answer
    x = 847.74

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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.