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Finding the Fourth Proportional to 1,086.53, 1,629.26 and 356.03

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Solution

The fourth proportional to 1,086.53, 1,629.26 and 356.03 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.53 : 1,629.26 = 356.03 : x
  2. Step 2: Convert to fraction form
    1,086.53/1,629.26 = 356.03/x
  3. Step 3: Cross multiply
    1,086.53x = 1,629.26 × 356.03
  4. Step 4: Simplify right side
    1,086.53x = 580,055.51
  5. Step 5: Solve for x
    x = 580,055.51/1,086.53
  6. Step 6: Final answer
    x = 533.86

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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.