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Finding the Fourth Proportional to 824.37, 1,237.14 and 663.99

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Solution

The fourth proportional to 824.37, 1,237.14 and 663.99 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.37 : 1,237.14 = 663.99 : x
  2. Step 2: Convert to fraction form
    824.37/1,237.14 = 663.99/x
  3. Step 3: Cross multiply
    824.37x = 1,237.14 × 663.99
  4. Step 4: Simplify right side
    824.37x = 821,448.59
  5. Step 5: Solve for x
    x = 821,448.59/824.37
  6. Step 6: Final answer
    x = 996.46

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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.