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Finding the Fourth Proportional to 1,288.64, 1,933.16 and 422.76

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Solution

The fourth proportional to 1,288.64, 1,933.16 and 422.76 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.64 : 1,933.16 = 422.76 : x
  2. Step 2: Convert to fraction form
    1,288.64/1,933.16 = 422.76/x
  3. Step 3: Cross multiply
    1,288.64x = 1,933.16 × 422.76
  4. Step 4: Simplify right side
    1,288.64x = 817,262.72
  5. Step 5: Solve for x
    x = 817,262.72/1,288.64
  6. Step 6: Final answer
    x = 634.21

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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.