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Finding the Fourth Proportional to 1,081.62, 1,494.45 and 820.98

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Solution

The fourth proportional to 1,081.62, 1,494.45 and 820.98 is: 1,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.62 : 1,494.45 = 820.98 : x
  2. Step 2: Convert to fraction form
    1,081.62/1,494.45 = 820.98/x
  3. Step 3: Cross multiply
    1,081.62x = 1,494.45 × 820.98
  4. Step 4: Simplify right side
    1,081.62x = 1,226,913.56
  5. Step 5: Solve for x
    x = 1,226,913.56/1,081.62
  6. Step 6: Final answer
    x = 1,134.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.