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Finding the Fourth Proportional to 788.42, 1,182.68 and 301.44

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Solution

The fourth proportional to 788.42, 1,182.68 and 301.44 is: 452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.42 : 1,182.68 = 301.44 : x
  2. Step 2: Convert to fraction form
    788.42/1,182.68 = 301.44/x
  3. Step 3: Cross multiply
    788.42x = 1,182.68 × 301.44
  4. Step 4: Simplify right side
    788.42x = 356,507.06
  5. Step 5: Solve for x
    x = 356,507.06/788.42
  6. Step 6: Final answer
    x = 452.18

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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.