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Finding the Fourth Proportional to 1,288.59, 1,932.45 and 422.70

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Solution

The fourth proportional to 1,288.59, 1,932.45 and 422.70 is: 633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.59 : 1,932.45 = 422.70 : x
  2. Step 2: Convert to fraction form
    1,288.59/1,932.45 = 422.70/x
  3. Step 3: Cross multiply
    1,288.59x = 1,932.45 × 422.70
  4. Step 4: Simplify right side
    1,288.59x = 816,846.62
  5. Step 5: Solve for x
    x = 816,846.62/1,288.59
  6. Step 6: Final answer
    x = 633.91

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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.