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Finding the Fourth Proportional to 1,078.56, 1,616.27 and 584.55

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Solution

The fourth proportional to 1,078.56, 1,616.27 and 584.55 is: 875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.56 : 1,616.27 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,078.56/1,616.27 = 584.55/x
  3. Step 3: Cross multiply
    1,078.56x = 1,616.27 × 584.55
  4. Step 4: Simplify right side
    1,078.56x = 944,788.82
  5. Step 5: Solve for x
    x = 944,788.82/1,078.56
  6. Step 6: Final answer
    x = 875.97

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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.