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Finding the Fourth Proportional to 1,183.06, 1,631.31 and 810.22

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Solution

The fourth proportional to 1,183.06, 1,631.31 and 810.22 is: 1,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.06 : 1,631.31 = 810.22 : x
  2. Step 2: Convert to fraction form
    1,183.06/1,631.31 = 810.22/x
  3. Step 3: Cross multiply
    1,183.06x = 1,631.31 × 810.22
  4. Step 4: Simplify right side
    1,183.06x = 1,321,719.99
  5. Step 5: Solve for x
    x = 1,321,719.99/1,183.06
  6. Step 6: Final answer
    x = 1,117.20

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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.