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Finding the Fourth Proportional to 664.24, 996.66 and 653.30

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Solution

The fourth proportional to 664.24, 996.66 and 653.30 is: 980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.24 : 996.66 = 653.30 : x
  2. Step 2: Convert to fraction form
    664.24/996.66 = 653.30/x
  3. Step 3: Cross multiply
    664.24x = 996.66 × 653.30
  4. Step 4: Simplify right side
    664.24x = 651,114.71
  5. Step 5: Solve for x
    x = 651,114.71/664.24
  6. Step 6: Final answer
    x = 980.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.