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Finding the Fourth Proportional to 734.26, 1,012.99 and 472.43

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Solution

The fourth proportional to 734.26, 1,012.99 and 472.43 is: 651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.26 : 1,012.99 = 472.43 : x
  2. Step 2: Convert to fraction form
    734.26/1,012.99 = 472.43/x
  3. Step 3: Cross multiply
    734.26x = 1,012.99 × 472.43
  4. Step 4: Simplify right side
    734.26x = 478,559.44
  5. Step 5: Solve for x
    x = 478,559.44/734.26
  6. Step 6: Final answer
    x = 651.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.