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Finding the Fourth Proportional to 671.44, 927.78 and 559.24

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Solution

The fourth proportional to 671.44, 927.78 and 559.24 is: 772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 927.78 = 559.24 : x
  2. Step 2: Convert to fraction form
    671.44/927.78 = 559.24/x
  3. Step 3: Cross multiply
    671.44x = 927.78 × 559.24
  4. Step 4: Simplify right side
    671.44x = 518,851.69
  5. Step 5: Solve for x
    x = 518,851.69/671.44
  6. Step 6: Final answer
    x = 772.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.