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Finding the Fourth Proportional to 763.57, 1,144.43 and 546.69

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Solution

The fourth proportional to 763.57, 1,144.43 and 546.69 is: 819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.57 : 1,144.43 = 546.69 : x
  2. Step 2: Convert to fraction form
    763.57/1,144.43 = 546.69/x
  3. Step 3: Cross multiply
    763.57x = 1,144.43 × 546.69
  4. Step 4: Simplify right side
    763.57x = 625,645.70
  5. Step 5: Solve for x
    x = 625,645.70/763.57
  6. Step 6: Final answer
    x = 819.37

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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.