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Finding the Fourth Proportional to 1,078.56, 1,618.01 and 462.27

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Solution

The fourth proportional to 1,078.56, 1,618.01 and 462.27 is: 693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.56 : 1,618.01 = 462.27 : x
  2. Step 2: Convert to fraction form
    1,078.56/1,618.01 = 462.27/x
  3. Step 3: Cross multiply
    1,078.56x = 1,618.01 × 462.27
  4. Step 4: Simplify right side
    1,078.56x = 747,957.48
  5. Step 5: Solve for x
    x = 747,957.48/1,078.56
  6. Step 6: Final answer
    x = 693.48

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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.