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Finding the Fourth Proportional to 757.05, 1,134.16 and 431.43

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Solution

The fourth proportional to 757.05, 1,134.16 and 431.43 is: 646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.05 : 1,134.16 = 431.43 : x
  2. Step 2: Convert to fraction form
    757.05/1,134.16 = 431.43/x
  3. Step 3: Cross multiply
    757.05x = 1,134.16 × 431.43
  4. Step 4: Simplify right side
    757.05x = 489,309.57
  5. Step 5: Solve for x
    x = 489,309.57/757.05
  6. Step 6: Final answer
    x = 646.34

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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.