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Finding the Fourth Proportional to 828.30, 1,243.35 and 463.80

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Solution

The fourth proportional to 828.30, 1,243.35 and 463.80 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.30 : 1,243.35 = 463.80 : x
  2. Step 2: Convert to fraction form
    828.30/1,243.35 = 463.80/x
  3. Step 3: Cross multiply
    828.30x = 1,243.35 × 463.80
  4. Step 4: Simplify right side
    828.30x = 576,665.73
  5. Step 5: Solve for x
    x = 576,665.73/828.30
  6. Step 6: Final answer
    x = 696.20

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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.