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Finding the Fourth Proportional to 666.81, 998.58 and 647.37

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Solution

The fourth proportional to 666.81, 998.58 and 647.37 is: 969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.81 : 998.58 = 647.37 : x
  2. Step 2: Convert to fraction form
    666.81/998.58 = 647.37/x
  3. Step 3: Cross multiply
    666.81x = 998.58 × 647.37
  4. Step 4: Simplify right side
    666.81x = 646,450.73
  5. Step 5: Solve for x
    x = 646,450.73/666.81
  6. Step 6: Final answer
    x = 969.47

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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.