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Finding the Fourth Proportional to 816.72, 1,225.80 and 769.20

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Solution

The fourth proportional to 816.72, 1,225.80 and 769.20 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,225.80 = 769.20 : x
  2. Step 2: Convert to fraction form
    816.72/1,225.80 = 769.20/x
  3. Step 3: Cross multiply
    816.72x = 1,225.80 × 769.20
  4. Step 4: Simplify right side
    816.72x = 942,885.36
  5. Step 5: Solve for x
    x = 942,885.36/816.72
  6. Step 6: Final answer
    x = 1,154.48

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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.