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Finding the Fourth Proportional to 788.52, 1,182.06 and 422.88

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Solution

The fourth proportional to 788.52, 1,182.06 and 422.88 is: 633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.52 : 1,182.06 = 422.88 : x
  2. Step 2: Convert to fraction form
    788.52/1,182.06 = 422.88/x
  3. Step 3: Cross multiply
    788.52x = 1,182.06 × 422.88
  4. Step 4: Simplify right side
    788.52x = 499,869.53
  5. Step 5: Solve for x
    x = 499,869.53/788.52
  6. Step 6: Final answer
    x = 633.93

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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.