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Finding the Fourth Proportional to 1,086.31, 1,629.57 and 436.96

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Solution

The fourth proportional to 1,086.31, 1,629.57 and 436.96 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.31 : 1,629.57 = 436.96 : x
  2. Step 2: Convert to fraction form
    1,086.31/1,629.57 = 436.96/x
  3. Step 3: Cross multiply
    1,086.31x = 1,629.57 × 436.96
  4. Step 4: Simplify right side
    1,086.31x = 712,056.91
  5. Step 5: Solve for x
    x = 712,056.91/1,086.31
  6. Step 6: Final answer
    x = 655.48

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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.