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Finding the Fourth Proportional to 755.28, 1,129.68 and 446.40

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Solution

The fourth proportional to 755.28, 1,129.68 and 446.40 is: 667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.28 : 1,129.68 = 446.40 : x
  2. Step 2: Convert to fraction form
    755.28/1,129.68 = 446.40/x
  3. Step 3: Cross multiply
    755.28x = 1,129.68 × 446.40
  4. Step 4: Simplify right side
    755.28x = 504,289.15
  5. Step 5: Solve for x
    x = 504,289.15/755.28
  6. Step 6: Final answer
    x = 667.69

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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.