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Finding the Fourth Proportional to 1,086.57, 1,629.89 and 317.07

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Solution

The fourth proportional to 1,086.57, 1,629.89 and 317.07 is: 475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.57 : 1,629.89 = 317.07 : x
  2. Step 2: Convert to fraction form
    1,086.57/1,629.89 = 317.07/x
  3. Step 3: Cross multiply
    1,086.57x = 1,629.89 × 317.07
  4. Step 4: Simplify right side
    1,086.57x = 516,787.64
  5. Step 5: Solve for x
    x = 516,787.64/1,086.57
  6. Step 6: Final answer
    x = 475.61

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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.