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Finding the Fourth Proportional to 1,182.98, 1,773.25 and 451.55

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Solution

The fourth proportional to 1,182.98, 1,773.25 and 451.55 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.98 : 1,773.25 = 451.55 : x
  2. Step 2: Convert to fraction form
    1,182.98/1,773.25 = 451.55/x
  3. Step 3: Cross multiply
    1,182.98x = 1,773.25 × 451.55
  4. Step 4: Simplify right side
    1,182.98x = 800,711.04
  5. Step 5: Solve for x
    x = 800,711.04/1,182.98
  6. Step 6: Final answer
    x = 676.86

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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.