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Finding the Fourth Proportional to 997.56, 1,358.64 and 986.13

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Solution

The fourth proportional to 997.56, 1,358.64 and 986.13 is: 1,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.56 : 1,358.64 = 986.13 : x
  2. Step 2: Convert to fraction form
    997.56/1,358.64 = 986.13/x
  3. Step 3: Cross multiply
    997.56x = 1,358.64 × 986.13
  4. Step 4: Simplify right side
    997.56x = 1,339,795.66
  5. Step 5: Solve for x
    x = 1,339,795.66/997.56
  6. Step 6: Final answer
    x = 1,343.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.