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Finding the Fourth Proportional to 1,081.62, 1,620.90 and 837.63

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Solution

The fourth proportional to 1,081.62, 1,620.90 and 837.63 is: 1,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.62 : 1,620.90 = 837.63 : x
  2. Step 2: Convert to fraction form
    1,081.62/1,620.90 = 837.63/x
  3. Step 3: Cross multiply
    1,081.62x = 1,620.90 × 837.63
  4. Step 4: Simplify right side
    1,081.62x = 1,357,714.47
  5. Step 5: Solve for x
    x = 1,357,714.47/1,081.62
  6. Step 6: Final answer
    x = 1,255.26

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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.