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Finding the Fourth Proportional to 996.71, 1,494.05 and 687.56

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Solution

The fourth proportional to 996.71, 1,494.05 and 687.56 is: 1,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.71 : 1,494.05 = 687.56 : x
  2. Step 2: Convert to fraction form
    996.71/1,494.05 = 687.56/x
  3. Step 3: Cross multiply
    996.71x = 1,494.05 × 687.56
  4. Step 4: Simplify right side
    996.71x = 1,027,238.11
  5. Step 5: Solve for x
    x = 1,027,238.11/996.71
  6. Step 6: Final answer
    x = 1,030.63

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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.