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Finding the Fourth Proportional to 817.73, 1,227.14 and 384.92

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Solution

The fourth proportional to 817.73, 1,227.14 and 384.92 is: 577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.73 : 1,227.14 = 384.92 : x
  2. Step 2: Convert to fraction form
    817.73/1,227.14 = 384.92/x
  3. Step 3: Cross multiply
    817.73x = 1,227.14 × 384.92
  4. Step 4: Simplify right side
    817.73x = 472,357.78
  5. Step 5: Solve for x
    x = 472,357.78/817.73
  6. Step 6: Final answer
    x = 577.64

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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.