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Finding the Fourth Proportional to 762.26, 1,051.83 and 447.53

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Solution

The fourth proportional to 762.26, 1,051.83 and 447.53 is: 617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.26 : 1,051.83 = 447.53 : x
  2. Step 2: Convert to fraction form
    762.26/1,051.83 = 447.53/x
  3. Step 3: Cross multiply
    762.26x = 1,051.83 × 447.53
  4. Step 4: Simplify right side
    762.26x = 470,725.48
  5. Step 5: Solve for x
    x = 470,725.48/762.26
  6. Step 6: Final answer
    x = 617.54

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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.