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Finding the Fourth Proportional to 1,086.52, 1,629.84 and 317

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Solution

The fourth proportional to 1,086.52, 1,629.84 and 317 is: 475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.52 : 1,629.84 = 317 : x
  2. Step 2: Convert to fraction form
    1,086.52/1,629.84 = 317/x
  3. Step 3: Cross multiply
    1,086.52x = 1,629.84 × 317
  4. Step 4: Simplify right side
    1,086.52x = 516,659.28
  5. Step 5: Solve for x
    x = 516,659.28/1,086.52
  6. Step 6: Final answer
    x = 475.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.