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Finding the Fourth Proportional to 660.18, 989.64 and 443.82

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Solution

The fourth proportional to 660.18, 989.64 and 443.82 is: 665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 989.64 = 443.82 : x
  2. Step 2: Convert to fraction form
    660.18/989.64 = 443.82/x
  3. Step 3: Cross multiply
    660.18x = 989.64 × 443.82
  4. Step 4: Simplify right side
    660.18x = 439,222.02
  5. Step 5: Solve for x
    x = 439,222.02/660.18
  6. Step 6: Final answer
    x = 665.31

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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.