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Finding the Fourth Proportional to 1,171.31, 1,617.01 and 856.22

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Solution

The fourth proportional to 1,171.31, 1,617.01 and 856.22 is: 1,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.31 : 1,617.01 = 856.22 : x
  2. Step 2: Convert to fraction form
    1,171.31/1,617.01 = 856.22/x
  3. Step 3: Cross multiply
    1,171.31x = 1,617.01 × 856.22
  4. Step 4: Simplify right side
    1,171.31x = 1,384,506.08
  5. Step 5: Solve for x
    x = 1,384,506.08/1,171.31
  6. Step 6: Final answer
    x = 1,182.02

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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.