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Finding the Fourth Proportional to 757.35, 1,135.82 and 392.31

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Solution

The fourth proportional to 757.35, 1,135.82 and 392.31 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.35 : 1,135.82 = 392.31 : x
  2. Step 2: Convert to fraction form
    757.35/1,135.82 = 392.31/x
  3. Step 3: Cross multiply
    757.35x = 1,135.82 × 392.31
  4. Step 4: Simplify right side
    757.35x = 445,594.52
  5. Step 5: Solve for x
    x = 445,594.52/757.35
  6. Step 6: Final answer
    x = 588.36

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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.