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Finding the Fourth Proportional to 1,288.53, 1,932.36 and 422.64

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Solution

The fourth proportional to 1,288.53, 1,932.36 and 422.64 is: 633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.53 : 1,932.36 = 422.64 : x
  2. Step 2: Convert to fraction form
    1,288.53/1,932.36 = 422.64/x
  3. Step 3: Cross multiply
    1,288.53x = 1,932.36 × 422.64
  4. Step 4: Simplify right side
    1,288.53x = 816,692.63
  5. Step 5: Solve for x
    x = 816,692.63/1,288.53
  6. Step 6: Final answer
    x = 633.82

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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.