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Finding the Fourth Proportional to 812.76, 1,119.33 and 759.30

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Solution

The fourth proportional to 812.76, 1,119.33 and 759.30 is: 1,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.76 : 1,119.33 = 759.30 : x
  2. Step 2: Convert to fraction form
    812.76/1,119.33 = 759.30/x
  3. Step 3: Cross multiply
    812.76x = 1,119.33 × 759.30
  4. Step 4: Simplify right side
    812.76x = 849,907.27
  5. Step 5: Solve for x
    x = 849,907.27/812.76
  6. Step 6: Final answer
    x = 1,045.71

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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.