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Finding the Fourth Proportional to 1,086.80, 1,629.72 and 317.36

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Solution

The fourth proportional to 1,086.80, 1,629.72 and 317.36 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.80 : 1,629.72 = 317.36 : x
  2. Step 2: Convert to fraction form
    1,086.80/1,629.72 = 317.36/x
  3. Step 3: Cross multiply
    1,086.80x = 1,629.72 × 317.36
  4. Step 4: Simplify right side
    1,086.80x = 517,207.94
  5. Step 5: Solve for x
    x = 517,207.94/1,086.80
  6. Step 6: Final answer
    x = 475.90

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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.