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Finding the Fourth Proportional to 1,081.83, 1,621.90 and 497.22

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Solution

The fourth proportional to 1,081.83, 1,621.90 and 497.22 is: 745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.83 : 1,621.90 = 497.22 : x
  2. Step 2: Convert to fraction form
    1,081.83/1,621.90 = 497.22/x
  3. Step 3: Cross multiply
    1,081.83x = 1,621.90 × 497.22
  4. Step 4: Simplify right side
    1,081.83x = 806,441.12
  5. Step 5: Solve for x
    x = 806,441.12/1,081.83
  6. Step 6: Final answer
    x = 745.44

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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.