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Finding the Fourth Proportional to 1,687.15, 2,531.10 and 517.31

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Solution

The fourth proportional to 1,687.15, 2,531.10 and 517.31 is: 776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.15 : 2,531.10 = 517.31 : x
  2. Step 2: Convert to fraction form
    1,687.15/2,531.10 = 517.31/x
  3. Step 3: Cross multiply
    1,687.15x = 2,531.10 × 517.31
  4. Step 4: Simplify right side
    1,687.15x = 1,309,373.44
  5. Step 5: Solve for x
    x = 1,309,373.44/1,687.15
  6. Step 6: Final answer
    x = 776.09

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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.