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Finding the Fourth Proportional to 1,288.56, 1,933.08 and 422.92

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Solution

The fourth proportional to 1,288.56, 1,933.08 and 422.92 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.56 : 1,933.08 = 422.92 : x
  2. Step 2: Convert to fraction form
    1,288.56/1,933.08 = 422.92/x
  3. Step 3: Cross multiply
    1,288.56x = 1,933.08 × 422.92
  4. Step 4: Simplify right side
    1,288.56x = 817,538.19
  5. Step 5: Solve for x
    x = 817,538.19/1,288.56
  6. Step 6: Final answer
    x = 634.46

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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.