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Finding the Fourth Proportional to 755.76, 1,134.12 and 409.33

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Solution

The fourth proportional to 755.76, 1,134.12 and 409.33 is: 614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,134.12 = 409.33 : x
  2. Step 2: Convert to fraction form
    755.76/1,134.12 = 409.33/x
  3. Step 3: Cross multiply
    755.76x = 1,134.12 × 409.33
  4. Step 4: Simplify right side
    755.76x = 464,229.99
  5. Step 5: Solve for x
    x = 464,229.99/755.76
  6. Step 6: Final answer
    x = 614.26

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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.