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Finding the Fourth Proportional to 772.78, 1,159.26 and 361.88

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Solution

The fourth proportional to 772.78, 1,159.26 and 361.88 is: 542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,159.26 = 361.88 : x
  2. Step 2: Convert to fraction form
    772.78/1,159.26 = 361.88/x
  3. Step 3: Cross multiply
    772.78x = 1,159.26 × 361.88
  4. Step 4: Simplify right side
    772.78x = 419,513.01
  5. Step 5: Solve for x
    x = 419,513.01/772.78
  6. Step 6: Final answer
    x = 542.86

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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.