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Finding the Fourth Proportional to 1,147.72, 1,713.17 and 986.44

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Solution

The fourth proportional to 1,147.72, 1,713.17 and 986.44 is: 1,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.72 : 1,713.17 = 986.44 : x
  2. Step 2: Convert to fraction form
    1,147.72/1,713.17 = 986.44/x
  3. Step 3: Cross multiply
    1,147.72x = 1,713.17 × 986.44
  4. Step 4: Simplify right side
    1,147.72x = 1,689,939.41
  5. Step 5: Solve for x
    x = 1,689,939.41/1,147.72
  6. Step 6: Final answer
    x = 1,472.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.