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Finding the Fourth Proportional to 672.88, 1,007.56 and 518.44

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Solution

The fourth proportional to 672.88, 1,007.56 and 518.44 is: 776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.88 : 1,007.56 = 518.44 : x
  2. Step 2: Convert to fraction form
    672.88/1,007.56 = 518.44/x
  3. Step 3: Cross multiply
    672.88x = 1,007.56 × 518.44
  4. Step 4: Simplify right side
    672.88x = 522,359.41
  5. Step 5: Solve for x
    x = 522,359.41/672.88
  6. Step 6: Final answer
    x = 776.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.