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Finding the Fourth Proportional to 1,078.74, 1,617.81 and 298.55

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Solution

The fourth proportional to 1,078.74, 1,617.81 and 298.55 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.74 : 1,617.81 = 298.55 : x
  2. Step 2: Convert to fraction form
    1,078.74/1,617.81 = 298.55/x
  3. Step 3: Cross multiply
    1,078.74x = 1,617.81 × 298.55
  4. Step 4: Simplify right side
    1,078.74x = 483,001.78
  5. Step 5: Solve for x
    x = 483,001.78/1,078.74
  6. Step 6: Final answer
    x = 447.75

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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.