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Finding the Fourth Proportional to 1,078.17, 1,616.79 and 384.60

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Solution

The fourth proportional to 1,078.17, 1,616.79 and 384.60 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.17 : 1,616.79 = 384.60 : x
  2. Step 2: Convert to fraction form
    1,078.17/1,616.79 = 384.60/x
  3. Step 3: Cross multiply
    1,078.17x = 1,616.79 × 384.60
  4. Step 4: Simplify right side
    1,078.17x = 621,817.43
  5. Step 5: Solve for x
    x = 621,817.43/1,078.17
  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.