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Finding the Fourth Proportional to 757.07, 1,135.44 and 391.82

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Solution

The fourth proportional to 757.07, 1,135.44 and 391.82 is: 587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.07 : 1,135.44 = 391.82 : x
  2. Step 2: Convert to fraction form
    757.07/1,135.44 = 391.82/x
  3. Step 3: Cross multiply
    757.07x = 1,135.44 × 391.82
  4. Step 4: Simplify right side
    757.07x = 444,882.42
  5. Step 5: Solve for x
    x = 444,882.42/757.07
  6. Step 6: Final answer
    x = 587.64

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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.