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Finding the Fourth Proportional to 1,086.66, 1,629.98 and 264.94

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Solution

The fourth proportional to 1,086.66, 1,629.98 and 264.94 is: 397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.66 : 1,629.98 = 264.94 : x
  2. Step 2: Convert to fraction form
    1,086.66/1,629.98 = 264.94/x
  3. Step 3: Cross multiply
    1,086.66x = 1,629.98 × 264.94
  4. Step 4: Simplify right side
    1,086.66x = 431,846.90
  5. Step 5: Solve for x
    x = 431,846.90/1,086.66
  6. Step 6: Final answer
    x = 397.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.