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Finding the Fourth Proportional to 1,086.63, 1,629.94 and 264.91

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Solution

The fourth proportional to 1,086.63, 1,629.94 and 264.91 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.63 : 1,629.94 = 264.91 : x
  2. Step 2: Convert to fraction form
    1,086.63/1,629.94 = 264.91/x
  3. Step 3: Cross multiply
    1,086.63x = 1,629.94 × 264.91
  4. Step 4: Simplify right side
    1,086.63x = 431,787.41
  5. Step 5: Solve for x
    x = 431,787.41/1,086.63
  6. Step 6: Final answer
    x = 397.36

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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.