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Finding the Fourth Proportional to 1,171.56, 1,617 and 974.88

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Solution

The fourth proportional to 1,171.56, 1,617 and 974.88 is: 1,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.56 : 1,617 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,171.56/1,617 = 974.88/x
  3. Step 3: Cross multiply
    1,171.56x = 1,617 × 974.88
  4. Step 4: Simplify right side
    1,171.56x = 1,576,380.96
  5. Step 5: Solve for x
    x = 1,576,380.96/1,171.56
  6. Step 6: Final answer
    x = 1,345.54

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Why These Related Problems?

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