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Finding the Fourth Proportional to 816.24, 1,222.80 and 609.60

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Solution

The fourth proportional to 816.24, 1,222.80 and 609.60 is: 913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.24 : 1,222.80 = 609.60 : x
  2. Step 2: Convert to fraction form
    816.24/1,222.80 = 609.60/x
  3. Step 3: Cross multiply
    816.24x = 1,222.80 × 609.60
  4. Step 4: Simplify right side
    816.24x = 745,418.88
  5. Step 5: Solve for x
    x = 745,418.88/816.24
  6. Step 6: Final answer
    x = 913.23

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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.