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Finding the Fourth Proportional to 1,078.62, 1,616.77 and 558.09

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Solution

The fourth proportional to 1,078.62, 1,616.77 and 558.09 is: 836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.62 : 1,616.77 = 558.09 : x
  2. Step 2: Convert to fraction form
    1,078.62/1,616.77 = 558.09/x
  3. Step 3: Cross multiply
    1,078.62x = 1,616.77 × 558.09
  4. Step 4: Simplify right side
    1,078.62x = 902,303.80
  5. Step 5: Solve for x
    x = 902,303.80/1,078.62
  6. Step 6: Final answer
    x = 836.54

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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.