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Finding the Fourth Proportional to 1,086.42, 1,629.77 and 356.07

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Solution

The fourth proportional to 1,086.42, 1,629.77 and 356.07 is: 534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.42 : 1,629.77 = 356.07 : x
  2. Step 2: Convert to fraction form
    1,086.42/1,629.77 = 356.07/x
  3. Step 3: Cross multiply
    1,086.42x = 1,629.77 × 356.07
  4. Step 4: Simplify right side
    1,086.42x = 580,310.42
  5. Step 5: Solve for x
    x = 580,310.42/1,086.42
  6. Step 6: Final answer
    x = 534.15

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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.