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Finding the Fourth Proportional to 757.35, 1,134.23 and 432.09

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Solution

The fourth proportional to 757.35, 1,134.23 and 432.09 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.35 : 1,134.23 = 432.09 : x
  2. Step 2: Convert to fraction form
    757.35/1,134.23 = 432.09/x
  3. Step 3: Cross multiply
    757.35x = 1,134.23 × 432.09
  4. Step 4: Simplify right side
    757.35x = 490,087.28
  5. Step 5: Solve for x
    x = 490,087.28/757.35
  6. Step 6: Final answer
    x = 647.11

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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.