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Finding the Fourth Proportional to 846.82, 1,269.69 and 384.58

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Solution

The fourth proportional to 846.82, 1,269.69 and 384.58 is: 576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.82 : 1,269.69 = 384.58 : x
  2. Step 2: Convert to fraction form
    846.82/1,269.69 = 384.58/x
  3. Step 3: Cross multiply
    846.82x = 1,269.69 × 384.58
  4. Step 4: Simplify right side
    846.82x = 488,297.38
  5. Step 5: Solve for x
    x = 488,297.38/846.82
  6. Step 6: Final answer
    x = 576.62

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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.