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Finding the Fourth Proportional to 817.19, 1,226.24 and 384.35

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Solution

The fourth proportional to 817.19, 1,226.24 and 384.35 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.19 : 1,226.24 = 384.35 : x
  2. Step 2: Convert to fraction form
    817.19/1,226.24 = 384.35/x
  3. Step 3: Cross multiply
    817.19x = 1,226.24 × 384.35
  4. Step 4: Simplify right side
    817.19x = 471,298.73
  5. Step 5: Solve for x
    x = 471,298.73/817.19
  6. Step 6: Final answer
    x = 576.73

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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.