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Finding the Fourth Proportional to 1,086, 1,629 and 316.50

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Solution

The fourth proportional to 1,086, 1,629 and 316.50 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086 : 1,629 = 316.50 : x
  2. Step 2: Convert to fraction form
    1,086/1,629 = 316.50/x
  3. Step 3: Cross multiply
    1,086x = 1,629 × 316.50
  4. Step 4: Simplify right side
    1,086x = 515,578.50
  5. Step 5: Solve for x
    x = 515,578.50/1,086
  6. Step 6: Final answer
    x = 474.75

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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.