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Finding the Fourth Proportional to 772.12, 1,158.87 and 361.49

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Solution

The fourth proportional to 772.12, 1,158.87 and 361.49 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.12 : 1,158.87 = 361.49 : x
  2. Step 2: Convert to fraction form
    772.12/1,158.87 = 361.49/x
  3. Step 3: Cross multiply
    772.12x = 1,158.87 × 361.49
  4. Step 4: Simplify right side
    772.12x = 418,919.92
  5. Step 5: Solve for x
    x = 418,919.92/772.12
  6. Step 6: Final answer
    x = 542.56

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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.