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Finding the Fourth Proportional to 775.98, 1,161.24 and 591.91

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Solution

The fourth proportional to 775.98, 1,161.24 and 591.91 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.98 : 1,161.24 = 591.91 : x
  2. Step 2: Convert to fraction form
    775.98/1,161.24 = 591.91/x
  3. Step 3: Cross multiply
    775.98x = 1,161.24 × 591.91
  4. Step 4: Simplify right side
    775.98x = 687,344.45
  5. Step 5: Solve for x
    x = 687,344.45/775.98
  6. Step 6: Final answer
    x = 885.78

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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.