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Finding the Fourth Proportional to 1,288.80, 1,933.40 and 422.84

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Solution

The fourth proportional to 1,288.80, 1,933.40 and 422.84 is: 634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.80 : 1,933.40 = 422.84 : x
  2. Step 2: Convert to fraction form
    1,288.80/1,933.40 = 422.84/x
  3. Step 3: Cross multiply
    1,288.80x = 1,933.40 × 422.84
  4. Step 4: Simplify right side
    1,288.80x = 817,518.86
  5. Step 5: Solve for x
    x = 817,518.86/1,288.80
  6. Step 6: Final answer
    x = 634.33

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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.