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Finding the Fourth Proportional to 733.75, 1,012.71 and 423.25

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Solution

The fourth proportional to 733.75, 1,012.71 and 423.25 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.75 : 1,012.71 = 423.25 : x
  2. Step 2: Convert to fraction form
    733.75/1,012.71 = 423.25/x
  3. Step 3: Cross multiply
    733.75x = 1,012.71 × 423.25
  4. Step 4: Simplify right side
    733.75x = 428,629.51
  5. Step 5: Solve for x
    x = 428,629.51/733.75
  6. Step 6: Final answer
    x = 584.16

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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.